id	sid	eid	entity	type
ejpam-5323	1	1	european journal	ORG
ejpam-5323	2	1	17	CARDINAL
ejpam-5323	2	2	3	CARDINAL
ejpam-5323	2	3	2024	DATE
ejpam-5323	2	4	2127	CARDINAL
ejpam-5323	2	5	1307-5543	DATE
ejpam-5323	2	6	new york	GPE
ejpam-5323	3	1	1,∗	DATE
ejpam-5323	3	2	evelin csókási1	PERSON
ejpam-5323	3	3	hirjak1 1 institute of mathematics	ORG
ejpam-5323	3	4	p.j	GPE
ejpam-5323	3	5	šafárik university	ORG
ejpam-5323	3	6	košice	GPE
ejpam-5323	3	7	košice	GPE
ejpam-5323	3	8	slovakia	GPE
ejpam-5323	6	1	3	CARDINAL
ejpam-5323	6	2	4	DATE
ejpam-5323	6	3	5	DATE
ejpam-5323	6	4	three	CARDINAL
ejpam-5323	6	5	3	CARDINAL
ejpam-5323	7	1	two	CARDINAL
ejpam-5323	7	2	berggren	PERSON
ejpam-5323	8	1	three	CARDINAL
ejpam-5323	9	1	berggren	GPE
ejpam-5323	10	1	2020	DATE
ejpam-5323	10	2	11d09, 11a41	DATE
ejpam-5323	10	3	11c99	CARDINAL
ejpam-5323	10	4	berggren	PERSON
ejpam-5323	10	5	euclid	GPE
ejpam-5323	10	6	1	CARDINAL
ejpam-5323	12	1	15	CARDINAL
ejpam-5323	13	1	two	CARDINAL
ejpam-5323	13	2	two	CARDINAL
ejpam-5323	13	3	third	ORDINAL
ejpam-5323	13	4	5	CARDINAL
ejpam-5323	15	1	pythagorean ∗corresponding	ORG
ejpam-5323	16	1	juraj.hirjak@student.upjs.sk	PERSON
ejpam-5323	16	2	j. hirjak	PERSON
ejpam-5323	16	3	2024	CARDINAL
ejpam-5323	17	1	l. kőszegyová	PERSON
ejpam-5323	17	2	e. csókási	PERSON
ejpam-5323	17	3	j. hirjak	PERSON
ejpam-5323	18	1	j. pure	PERSON
ejpam-5323	18	2	17	CARDINAL
ejpam-5323	18	3	3	CARDINAL
ejpam-5323	18	4	2024	CARDINAL
ejpam-5323	18	5	2127-2141 2128	CARDINAL
ejpam-5323	19	1	euclid	GPE
ejpam-5323	19	2	berggren	PERSON
ejpam-5323	20	1	13	CARDINAL
ejpam-5323	21	1	berggren	PERSON
ejpam-5323	23	1	one	CARDINAL
ejpam-5323	23	2	5	CARDINAL
ejpam-5323	24	1	2	CARDINAL
ejpam-5323	26	1	11	CARDINAL
ejpam-5323	26	2	6	CARDINAL
ejpam-5323	27	1	4	CARDINAL
ejpam-5323	28	1	1	CARDINAL
ejpam-5323	29	1	3	CARDINAL
ejpam-5323	29	2	8	CARDINAL
ejpam-5323	30	1	three	CARDINAL
ejpam-5323	31	1	berggren	PERSON
ejpam-5323	31	2	three	CARDINAL
ejpam-5323	32	1	three	CARDINAL
ejpam-5323	33	1	berggren	PERSON
ejpam-5323	35	1	2	CARDINAL
ejpam-5323	35	2	first	ORDINAL
ejpam-5323	36	1	1	CARDINAL
ejpam-5323	36	2	2	DATE
ejpam-5323	36	3	3	DATE
ejpam-5323	38	1	n0	GPE
ejpam-5323	39	1	0	CARDINAL
ejpam-5323	40	1	m⊤.	PRODUCT
ejpam-5323	41	1	1	CARDINAL
ejpam-5323	43	1	1	CARDINAL
ejpam-5323	44	1	2	CARDINAL
ejpam-5323	48	1	8	CARDINAL
ejpam-5323	48	2	1	CARDINAL
ejpam-5323	49	1	one	CARDINAL
ejpam-5323	50	1	l. kőszegyová	PERSON
ejpam-5323	50	2	e. csókási	PERSON
ejpam-5323	50	3	j. hirjak	PERSON
ejpam-5323	51	1	j. pure	PERSON
ejpam-5323	51	2	17	CARDINAL
ejpam-5323	51	3	3	CARDINAL
ejpam-5323	51	4	2024	CARDINAL
ejpam-5323	51	5	2127-2141 2129	CARDINAL
ejpam-5323	52	1	berggren	PERSON
ejpam-5323	53	1	ppt	ORG
ejpam-5323	55	1	10	CARDINAL
ejpam-5323	55	2	1	CARDINAL
ejpam-5323	57	1	n ∈ n	ORG
ejpam-5323	57	2	gcd(m,n	ORG
ejpam-5323	57	3	1	CARDINAL
ejpam-5323	58	1	− n2	PERSON
ejpam-5323	58	2	2mn	ORG
ejpam-5323	59	1	1	CARDINAL
ejpam-5323	59	2	3	CARDINAL
ejpam-5323	60	1	berggren	GPE
ejpam-5323	60	2	berggren	PERSON
ejpam-5323	60	3	3	CARDINAL
ejpam-5323	60	4	4	DATE
ejpam-5323	60	5	5	DATE
ejpam-5323	60	6	three-fold	CARDINAL
ejpam-5323	60	7	three	CARDINAL
ejpam-5323	61	1	3 	DATE
ejpam-5323	61	2	2	CARDINAL
ejpam-5323	61	3	3 	DATE
ejpam-5323	61	4	2 2 −2 1 2 −2 2 3 	QUANTITY
ejpam-5323	63	1	un =  1 −2n	ORG
ejpam-5323	63	2	2n	CARDINAL
ejpam-5323	63	3	2n	CARDINAL
ejpam-5323	63	4	1− 2n2 2n2 2n	TIME
ejpam-5323	63	5	2 + a1	QUANTITY
ejpam-5323	63	6	2 + a1 a2 a2 a2	QUANTITY
ejpam-5323	63	7	2a1	CARDINAL
ejpam-5323	63	8	dn =	PERSON
ejpam-5323	63	9	1 2n	CARDINAL
ejpam-5323	63	10	2n	CARDINAL
ejpam-5323	63	11	1 4	DATE
ejpam-5323	63	12	3− 2 √ 2)n +	DATE
ejpam-5323	63	13	3 + 2 √ 2)n	QUANTITY
ejpam-5323	63	14	√ 2	DATE
ejpam-5323	63	15	3+2 √ 2	QUANTITY
ejpam-5323	64	1	2	CARDINAL
ejpam-5323	65	1	∈	ORG
ejpam-5323	65	2	c)⊤	PRODUCT
ejpam-5323	65	3	first	ORDINAL
ejpam-5323	66	1	berggren	PERSON
ejpam-5323	67	1	first	ORDINAL
ejpam-5323	67	2	berggren	PERSON
ejpam-5323	67	3	1	CARDINAL
ejpam-5323	68	1	l. kőszegyová	PERSON
ejpam-5323	68	2	e. csókási	PERSON
ejpam-5323	68	3	j. hirjak	PERSON
ejpam-5323	69	1	j. pure	PERSON
ejpam-5323	69	2	17	CARDINAL
ejpam-5323	69	3	3	CARDINAL
ejpam-5323	69	4	2024	CARDINAL
ejpam-5323	69	5	2127-2141 2130	CARDINAL
ejpam-5323	69	6	3	CARDINAL
ejpam-5323	69	7	4	DATE
ejpam-5323	69	8	5	DATE
ejpam-5323	69	9	5	CARDINAL
ejpam-5323	69	10	12	DATE
ejpam-5323	69	11	13	CARDINAL
ejpam-5323	69	12	21	CARDINAL
ejpam-5323	69	13	20	DATE
ejpam-5323	69	14	29	DATE
ejpam-5323	69	15	15, 8	DATE
ejpam-5323	69	16	17	DATE
ejpam-5323	69	17	7	CARDINAL
ejpam-5323	69	18	24	DATE
ejpam-5323	69	19	25	DATE
ejpam-5323	69	20	55	CARDINAL
ejpam-5323	69	21	48	DATE
ejpam-5323	69	22	73	DATE
ejpam-5323	69	23	45	CARDINAL
ejpam-5323	69	24	28	DATE
ejpam-5323	69	25	53	DATE
ejpam-5323	69	26	39, 80,	DATE
ejpam-5323	69	27	89	DATE
ejpam-5323	69	28	119	CARDINAL
ejpam-5323	69	29	120	CARDINAL
ejpam-5323	69	30	169	CARDINAL
ejpam-5323	69	31	77	CARDINAL
ejpam-5323	69	32	36	DATE
ejpam-5323	69	33	85	DATE
ejpam-5323	69	34	33	CARDINAL
ejpam-5323	69	35	56	DATE
ejpam-5323	69	36	65	DATE
ejpam-5323	69	37	65, 72	DATE
ejpam-5323	69	38	97	DATE
ejpam-5323	69	39	35	CARDINAL
ejpam-5323	69	40	12	DATE
ejpam-5323	69	41	37	DATE
ejpam-5323	69	42	1	CARDINAL
ejpam-5323	69	43	berggren	PERSON
ejpam-5323	70	1	3	CARDINAL
ejpam-5323	72	1	berggren	GPE
ejpam-5323	78	1	a−	ORG
ejpam-5323	78	2	4	CARDINAL
ejpam-5323	78	3	2	CARDINAL
ejpam-5323	78	4	4b	ORG
ejpam-5323	78	5	2b 4b 	DATE
ejpam-5323	78	6	4	CARDINAL
ejpam-5323	78	7	2	CARDINAL
ejpam-5323	78	8	4b	CARDINAL
ejpam-5323	79	1	2b	CARDINAL
ejpam-5323	80	1	4b	CARDINAL
ejpam-5323	80	2	2b	CARDINAL
ejpam-5323	80	3	4b	CARDINAL
ejpam-5323	80	4	k(−2a+4b,−4a+ 2b,−4a+ 4b	PERSON
ejpam-5323	80	5	4b	CARDINAL
ejpam-5323	80	6	k(−2a+	ORG
ejpam-5323	80	7	4b	CARDINAL
ejpam-5323	80	8	4b	CARDINAL
ejpam-5323	80	9	k(−4a+ 4b	PERSON
ejpam-5323	81	1	k(−2a+	ORG
ejpam-5323	81	2	4b	PRODUCT
ejpam-5323	81	3	k(−4a+ 4b	PERSON
ejpam-5323	82	1	4b	CARDINAL
ejpam-5323	83	1	0	CARDINAL
ejpam-5323	83	2	∈	PRODUCT
ejpam-5323	86	1	4	CARDINAL
ejpam-5323	86	2	berggren	GPE
ejpam-5323	87	1	dp⊤	PERSON
ejpam-5323	87	2	berggren	GPE
ejpam-5323	88	1	l. kőszegyová	PERSON
ejpam-5323	88	2	e. csókási	PERSON
ejpam-5323	88	3	j. hirjak	PERSON
ejpam-5323	89	1	j. pure	PERSON
ejpam-5323	89	2	17	CARDINAL
ejpam-5323	89	3	3	CARDINAL
ejpam-5323	89	4	2024	CARDINAL
ejpam-5323	89	5	2127-2141 2131	CARDINAL
ejpam-5323	89	6	2	CARDINAL
ejpam-5323	91	1	2y	CARDINAL
ejpam-5323	91	2	3z	CARDINAL
ejpam-5323	91	3	0	CARDINAL
ejpam-5323	92	1	2	CARDINAL
ejpam-5323	93	1	1	CARDINAL
ejpam-5323	95	1	4b	CARDINAL
ejpam-5323	95	2	2b	CARDINAL
ejpam-5323	95	3	4b	CARDINAL
ejpam-5323	97	1	−2a+	GPE
ejpam-5323	97	2	2b,−4a+ 4b	PERCENT
ejpam-5323	98	1	firstly	ORDINAL
ejpam-5323	99	1	8ab	ORDINAL
ejpam-5323	99	2	8ab,−12ab	CARDINAL
ejpam-5323	100	1	≈	CARDINAL
ejpam-5323	100	2	2	CARDINAL
ejpam-5323	101	1	2x	CARDINAL
ejpam-5323	101	2	3z	CARDINAL
ejpam-5323	101	3	2(a−	CARDINAL
ejpam-5323	101	4	2c	CARDINAL
ejpam-5323	102	1	2c)−	CARDINAL
ejpam-5323	102	2	3c	CARDINAL
ejpam-5323	103	1	0	CARDINAL
ejpam-5323	103	2	2y	CARDINAL
ejpam-5323	103	3	3z	CARDINAL
ejpam-5323	103	4	0	CARDINAL
ejpam-5323	104	1	1	CARDINAL
ejpam-5323	106	1	2	CARDINAL
ejpam-5323	107	1	2y	CARDINAL
ejpam-5323	107	2	3z	CARDINAL
ejpam-5323	108	1	7	CARDINAL
ejpam-5323	108	2	berggren	PERSON
ejpam-5323	109	1	3	CARDINAL
ejpam-5323	109	2	4	DATE
ejpam-5323	109	3	5	DATE
ejpam-5323	109	4	berggren	GPE
ejpam-5323	109	5	g ∈	ORG
ejpam-5323	111	1	3	CARDINAL
ejpam-5323	111	2	4	DATE
ejpam-5323	111	3	5	DATE
ejpam-5323	111	4	2y	CARDINAL
ejpam-5323	111	5	3z	CARDINAL
ejpam-5323	111	6	0	CARDINAL
ejpam-5323	112	1	berggren	GPE
ejpam-5323	112	2	2	CARDINAL
ejpam-5323	112	3	2y	CARDINAL
ejpam-5323	112	4	3z +	DATE
ejpam-5323	113	1	g ∈ n	PERSON
ejpam-5323	114	1	14	CARDINAL
ejpam-5323	114	2	2	CARDINAL
ejpam-5323	114	3	2	CARDINAL
ejpam-5323	115	1	2ω(n)−1	CARDINAL
ejpam-5323	115	2	n ≥ 3	DATE
ejpam-5323	115	3	0	DATE
ejpam-5323	115	4	1	CARDINAL
ejpam-5323	115	5	4k + 3	DATE
ejpam-5323	115	6	ω(n	DATE
ejpam-5323	115	7	1	CARDINAL
ejpam-5323	115	8	2	CARDINAL
ejpam-5323	116	1	3	CARDINAL
ejpam-5323	117	1	2x	CARDINAL
ejpam-5323	118	1	3z	CARDINAL
ejpam-5323	118	2	0	CARDINAL
ejpam-5323	118	3	2	CARDINAL
ejpam-5323	118	4	b. l. kőszegyová	PERSON
ejpam-5323	118	5	e. csókási	PERSON
ejpam-5323	118	6	j. hirjak	PERSON
ejpam-5323	119	1	j. pure	PERSON
ejpam-5323	119	2	17	CARDINAL
ejpam-5323	119	3	3	CARDINAL
ejpam-5323	119	4	2024	CARDINAL
ejpam-5323	119	5	2127-2141 2132	CARDINAL
ejpam-5323	120	1	lemma 2	ORG
ejpam-5323	120	2	2	CARDINAL
ejpam-5323	120	3	third	ORDINAL
ejpam-5323	120	4	2	CARDINAL
ejpam-5323	120	5	2y	CARDINAL
ejpam-5323	120	6	3z	CARDINAL
ejpam-5323	120	7	0	CARDINAL
ejpam-5323	121	1	2y	CARDINAL
ejpam-5323	121	2	3z	CARDINAL
ejpam-5323	122	1	2x+2y− 3z+	CARDINAL
ejpam-5323	122	2	0	CARDINAL
ejpam-5323	123	1	2	CARDINAL
ejpam-5323	123	2	2y	CARDINAL
ejpam-5323	123	3	3z	CARDINAL
ejpam-5323	123	4	0	CARDINAL
ejpam-5323	124	1	3	CARDINAL
ejpam-5323	125	1	2x+2y−3z+n	CARDINAL
ejpam-5323	125	2	0	CARDINAL
ejpam-5323	125	3	3·p∗	CARDINAL
ejpam-5323	126	1	2y	CARDINAL
ejpam-5323	126	2	3z	CARDINAL
ejpam-5323	126	3	0	CARDINAL
ejpam-5323	126	4	3	CARDINAL
ejpam-5323	126	5	4	DATE
ejpam-5323	126	6	5	DATE
ejpam-5323	128	1	1	CARDINAL
ejpam-5323	129	1	2y	CARDINAL
ejpam-5323	129	2	3z	CARDINAL
ejpam-5323	129	3	0	CARDINAL
ejpam-5323	129	4	euclid	GPE
ejpam-5323	129	5	2(m2	CARDINAL
ejpam-5323	130	1	+ 2(2mn)−	DATE
ejpam-5323	130	2	+ 1	DATE
ejpam-5323	130	3	0 m2	QUANTITY
ejpam-5323	130	4	1	CARDINAL
ejpam-5323	130	5	0	CARDINAL
ejpam-5323	130	6	4n±	CARDINAL
ejpam-5323	131	1	2	CARDINAL
ejpam-5323	131	2	euclid	GPE
ejpam-5323	131	3	∈	ORG
ejpam-5323	131	4	4− 4n2	ORG
ejpam-5323	132	1	1	CARDINAL
ejpam-5323	132	2	2	CARDINAL
ejpam-5323	133	1	2mn	GPE
ejpam-5323	133	2	3	CARDINAL
ejpam-5323	133	3	4	DATE
ejpam-5323	133	4	5	DATE
ejpam-5323	134	1	n ≥ 3	DATE
ejpam-5323	135	1	3	CARDINAL
ejpam-5323	135	2	2x	CARDINAL
ejpam-5323	136	1	3z	CARDINAL
ejpam-5323	136	2	0	CARDINAL
ejpam-5323	136	3	2	CARDINAL
ejpam-5323	136	4	at least 3	CARDINAL
ejpam-5323	136	5	2	CARDINAL
ejpam-5323	136	6	2y	CARDINAL
ejpam-5323	136	7	3z	CARDINAL
ejpam-5323	137	1	2x+2y−3z+n	CARDINAL
ejpam-5323	138	1	2x	CARDINAL
ejpam-5323	139	1	3z	CARDINAL
ejpam-5323	139	2	third	ORDINAL
ejpam-5323	139	3	berggren	GPE
ejpam-5323	140	1	3	CARDINAL
ejpam-5323	140	2	4	DATE
ejpam-5323	140	3	5	DATE
ejpam-5323	140	4	3	CARDINAL
ejpam-5323	140	5	4	DATE
ejpam-5323	140	6	5	DATE
ejpam-5323	140	7	2x+2y−3z+n	CARDINAL
ejpam-5323	140	8	0	CARDINAL
ejpam-5323	140	9	1	CARDINAL
ejpam-5323	140	10	n ≥ 3	ORG
ejpam-5323	141	1	2	CARDINAL
ejpam-5323	142	1	2x	CARDINAL
ejpam-5323	143	1	3z	CARDINAL
ejpam-5323	143	2	0	CARDINAL
ejpam-5323	144	1	2y	CARDINAL
ejpam-5323	144	2	3z	CARDINAL
ejpam-5323	145	1	berggren	GPE
ejpam-5323	148	1	l. kőszegyová	PERSON
ejpam-5323	148	2	e. csókási	PERSON
ejpam-5323	148	3	j. hirjak	PERSON
ejpam-5323	149	1	j. pure	PERSON
ejpam-5323	149	2	17	CARDINAL
ejpam-5323	149	3	3	CARDINAL
ejpam-5323	149	4	2024	CARDINAL
ejpam-5323	149	5	2127-2141 2133	CARDINAL
ejpam-5323	149	6	4	CARDINAL
ejpam-5323	153	1	dp⊤	PERSON
ejpam-5323	153	2	̸= 0	ORG
ejpam-5323	153	3	̸= 0	ORG
ejpam-5323	154	1	1	CARDINAL
ejpam-5323	154	2	4b	CARDINAL
ejpam-5323	154	3	2b	CARDINAL
ejpam-5323	154	4	4b	CARDINAL
ejpam-5323	154	5	−2a+	GPE
ejpam-5323	154	6	2b,−4a+ 4b	PERCENT
ejpam-5323	158	1	1	CARDINAL
ejpam-5323	160	1	4b	CARDINAL
ejpam-5323	160	2	2b	CARDINAL
ejpam-5323	160	3	4b	CARDINAL
ejpam-5323	161	1	4b,−4a + 2c,−4a + 4b	DATE
ejpam-5323	162	1	−32ab	PERSON
ejpam-5323	163	1	0	CARDINAL
ejpam-5323	163	2	8a 9	DATE
ejpam-5323	164	1	pythagorean	ORG
ejpam-5323	165	1	√ 145	CARDINAL
ejpam-5323	165	2	9	CARDINAL
ejpam-5323	165	3	2	CARDINAL
ejpam-5323	165	4	4b	CARDINAL
ejpam-5323	165	5	2b	CARDINAL
ejpam-5323	165	6	4b	CARDINAL
ejpam-5323	165	7	−32ab	PERSON
ejpam-5323	166	1	̸= 0.	ORG
ejpam-5323	167	1	3	CARDINAL
ejpam-5323	168	1	36a2−	CARDINAL
ejpam-5323	169	1	5	CARDINAL
ejpam-5323	175	1	4b	CARDINAL
ejpam-5323	175	2	2b	CARDINAL
ejpam-5323	175	3	4b	CARDINAL
ejpam-5323	177	1	−2a+	GPE
ejpam-5323	177	2	2b,−4a+ 4b	PERCENT
ejpam-5323	180	1	l. kőszegyová	PERSON
ejpam-5323	180	2	e. csókási	PERSON
ejpam-5323	180	3	j. hirjak	PERSON
ejpam-5323	181	1	j. pure	PERSON
ejpam-5323	181	2	17	CARDINAL
ejpam-5323	181	3	3	CARDINAL
ejpam-5323	181	4	2024	CARDINAL
ejpam-5323	181	5	2127-2141 2134	CARDINAL
ejpam-5323	182	1	64ab+	CARDINAL
ejpam-5323	185	1	1	CARDINAL
ejpam-5323	186	1	|w⃗|	TIME
ejpam-5323	189	1	36a2	CARDINAL
ejpam-5323	190	1	36b2	CARDINAL
ejpam-5323	190	2	36a2	CARDINAL
ejpam-5323	192	1	2	CARDINAL
ejpam-5323	194	1	64ab+	CARDINAL
ejpam-5323	195	1	36a2	CARDINAL
ejpam-5323	195	2	64ab+	CARDINAL
ejpam-5323	197	1	36a2	CARDINAL
ejpam-5323	197	2	− 64ab	ORG
ejpam-5323	197	3	9a− 16b	DATE
ejpam-5323	198	1	0	CARDINAL
ejpam-5323	199	1	16(2mn	CARDINAL
ejpam-5323	200	1	− n2	PERSON
ejpam-5323	201	1	16(2mn	CARDINAL
ejpam-5323	202	1	3	CARDINAL
ejpam-5323	203	1	√ 36a2	CARDINAL
ejpam-5323	206	1	36a2	CARDINAL
ejpam-5323	206	2	64ab+	CARDINAL
ejpam-5323	207	1	36a2	CARDINAL
ejpam-5323	208	1	36a2	CARDINAL
ejpam-5323	208	2	64ab+	CARDINAL
ejpam-5323	209	1	9b	CARDINAL
ejpam-5323	209	2	0	CARDINAL
ejpam-5323	210	1	− n2	PERSON
ejpam-5323	211	1	0	CARDINAL
ejpam-5323	213	1	√ 337	QUANTITY
ejpam-5323	213	2	16	CARDINAL
ejpam-5323	213	3	4	CARDINAL
ejpam-5323	215	1	inradius	ORG
ejpam-5323	215	2	berggren	GPE
ejpam-5323	216	1	l. kőszegyová	PERSON
ejpam-5323	216	2	e. csókási	PERSON
ejpam-5323	216	3	j. hirjak	PERSON
ejpam-5323	217	1	j. pure	PERSON
ejpam-5323	217	2	17	CARDINAL
ejpam-5323	217	3	3	CARDINAL
ejpam-5323	217	4	2024	CARDINAL
ejpam-5323	217	5	2127-2141 2135	CARDINAL
ejpam-5323	217	6	6	CARDINAL
ejpam-5323	219	1	2 √ 17ab	DATE
ejpam-5323	220	1	3	CARDINAL
ejpam-5323	220	2	9	CARDINAL
ejpam-5323	221	1	5	CARDINAL
ejpam-5323	225	1	13	CARDINAL
ejpam-5323	225	2	20, 21	DATE
ejpam-5323	225	3	29	DATE
ejpam-5323	225	4	12	CARDINAL
ejpam-5323	225	5	35	DATE
ejpam-5323	225	6	37	DATE
ejpam-5323	226	1	210	CARDINAL
ejpam-5323	227	1	13	CARDINAL
ejpam-5323	227	2	3	CARDINAL
ejpam-5323	227	3	third	ORDINAL
ejpam-5323	228	1	4	CARDINAL
ejpam-5323	228	2	12	CARDINAL
ejpam-5323	229	1	berggren	GPE
ejpam-5323	229	2	3	CARDINAL
ejpam-5323	229	3	4	DATE
ejpam-5323	229	4	5	DATE
ejpam-5323	229	5	three-fold	CARDINAL
ejpam-5323	229	6	three	CARDINAL
ejpam-5323	229	7	m2 = 2	PERSON
ejpam-5323	229	8	1 1 2 −2 2 2	QUANTITY
ejpam-5323	229	9	m3 = 2	PERSON
ejpam-5323	229	10	−1 1	DATE
ejpam-5323	230	1	1	CARDINAL
ejpam-5323	230	2	2n	CARDINAL
ejpam-5323	230	3	+ 1 2n	DATE
ejpam-5323	230	4	1 22n	CARDINAL
ejpam-5323	230	5	2n	CARDINAL
ejpam-5323	230	6	2n 22n	CARDINAL
ejpam-5323	230	7	2n	CARDINAL
ejpam-5323	230	8	1 22n	CARDINAL
ejpam-5323	231	1	2	CARDINAL
ejpam-5323	231	2	22n+2+(−1)n·2n+4 9	DATE
ejpam-5323	232	1	2n	CARDINAL
ejpam-5323	232	2	22n+(−1)n·2n	MONEY
ejpam-5323	232	3	3 5·22n+(−1)n·2n+5	CARDINAL
ejpam-5323	232	4	9	CARDINAL
ejpam-5323	232	5	3	CARDINAL
ejpam-5323	232	6	2n	CARDINAL
ejpam-5323	232	7	2n	CARDINAL
ejpam-5323	232	8	1	CARDINAL
ejpam-5323	232	9	2n	CARDINAL
ejpam-5323	233	1	+ 2n	DATE
ejpam-5323	233	2	2n	CARDINAL
ejpam-5323	233	3	1 22n	CARDINAL
ejpam-5323	234	1	4	CARDINAL
ejpam-5323	235	1	∈	ORG
ejpam-5323	235	2	c)⊤	PRODUCT
ejpam-5323	235	3	first	ORDINAL
ejpam-5323	236	1	l. kőszegyová	PERSON
ejpam-5323	236	2	e. csókási	PERSON
ejpam-5323	236	3	j. hirjak	PERSON
ejpam-5323	237	1	j. pure	PERSON
ejpam-5323	237	2	17	CARDINAL
ejpam-5323	237	3	3	CARDINAL
ejpam-5323	237	4	2024	CARDINAL
ejpam-5323	237	5	2127-2141 2136	CARDINAL
ejpam-5323	237	6	3	CARDINAL
ejpam-5323	237	7	4	DATE
ejpam-5323	237	8	5	DATE
ejpam-5323	237	9	5	CARDINAL
ejpam-5323	237	10	12	DATE
ejpam-5323	237	11	13	CARDINAL
ejpam-5323	237	12	15, 8	DATE
ejpam-5323	237	13	17	DATE
ejpam-5323	237	14	7	CARDINAL
ejpam-5323	237	15	24	DATE
ejpam-5323	237	16	25	DATE
ejpam-5323	237	17	9, 40	DATE
ejpam-5323	237	18	41	CARDINAL
ejpam-5323	237	19	35	CARDINAL
ejpam-5323	237	20	12	DATE
ejpam-5323	237	21	37	DATE
ejpam-5323	237	22	11	CARDINAL
ejpam-5323	237	23	60	DATE
ejpam-5323	237	24	61	DATE
ejpam-5323	237	25	21	CARDINAL
ejpam-5323	237	26	20	DATE
ejpam-5323	237	27	29	DATE
ejpam-5323	237	28	55	CARDINAL
ejpam-5323	237	29	48	DATE
ejpam-5323	237	30	73	DATE
ejpam-5323	237	31	39, 80,	DATE
ejpam-5323	237	32	89	DATE
ejpam-5323	237	33	13	CARDINAL
ejpam-5323	237	34	84	DATE
ejpam-5323	237	35	85	DATE
ejpam-5323	237	36	63	CARDINAL
ejpam-5323	237	37	16	DATE
ejpam-5323	237	38	65	DATE
ejpam-5323	237	39	15	CARDINAL
ejpam-5323	237	40	112	DATE
ejpam-5323	237	41	113	CARDINAL
ejpam-5323	237	42	m1 m2 m3 m1 m2 m3 m1 m2 m3 m1 m2 m3	QUANTITY
ejpam-5323	237	43	2	CARDINAL
ejpam-5323	238	1	12	CARDINAL
ejpam-5323	239	1	first	ORDINAL
ejpam-5323	239	2	2	CARDINAL
ejpam-5323	239	3	berggren	GPE
ejpam-5323	241	1	5	CARDINAL
ejpam-5323	252	1	q⃗	GPE
ejpam-5323	252	2	⊤	GPE
ejpam-5323	253	1	0 2 4	CARDINAL
ejpam-5323	253	2	0 	DATE
ejpam-5323	253	3	2c	CARDINAL
ejpam-5323	254	1	4a− 2b 	DATE
ejpam-5323	254	2	q⃗	GPE
ejpam-5323	254	3	m3 −m1)r ⊤	PRODUCT
ejpam-5323	254	4	2c 4a	CARDINAL
ejpam-5323	256	1	2c	CARDINAL
ejpam-5323	256	2	4a	CARDINAL
ejpam-5323	256	3	4b	CARDINAL
ejpam-5323	256	4	4a	CARDINAL
ejpam-5323	256	5	2b	CARDINAL
ejpam-5323	257	1	k(−2b + 2c	CARDINAL
ejpam-5323	257	2	4a	CARDINAL
ejpam-5323	257	3	4a	CARDINAL
ejpam-5323	257	4	4a− 4b	CARDINAL
ejpam-5323	257	5	k(4a	PERSON
ejpam-5323	257	6	4a− 2b	CARDINAL
ejpam-5323	257	7	k(4a	PERSON
ejpam-5323	258	1	4a−	CARDINAL
ejpam-5323	258	2	4b	CARDINAL
ejpam-5323	258	3	4a−	CARDINAL
ejpam-5323	258	4	2b	CARDINAL
ejpam-5323	258	5	0	CARDINAL
ejpam-5323	258	6	p⃗	GPE
ejpam-5323	258	7	q⃗	GPE
ejpam-5323	260	1	⊤	ORG
ejpam-5323	262	1	l. kőszegyová	PERSON
ejpam-5323	262	2	e. csókási	PERSON
ejpam-5323	262	3	j. hirjak	PERSON
ejpam-5323	263	1	j. pure	PERSON
ejpam-5323	263	2	17	CARDINAL
ejpam-5323	263	3	3	CARDINAL
ejpam-5323	263	4	2024	CARDINAL
ejpam-5323	263	5	2127-2141 2137	CARDINAL
ejpam-5323	263	6	6	CARDINAL
ejpam-5323	265	1	△p	ORG
ejpam-5323	268	1	2a)x+	CARDINAL
ejpam-5323	268	2	2a−	CARDINAL
ejpam-5323	268	3	2b−	CARDINAL
ejpam-5323	268	4	2c)z + 2ab−	CARDINAL
ejpam-5323	268	5	0	CARDINAL
ejpam-5323	268	6	4	CARDINAL
ejpam-5323	269	1	7	CARDINAL
ejpam-5323	270	1	2c	CARDINAL
ejpam-5323	270	2	4a− 4b	DATE
ejpam-5323	270	3	4a−	CARDINAL
ejpam-5323	270	4	2b	CARDINAL
ejpam-5323	270	5	q⃗	GPE
ejpam-5323	270	6	m3 −m1)r ⊤	PRODUCT
ejpam-5323	270	7	4a	CARDINAL
ejpam-5323	270	8	4a	CARDINAL
ejpam-5323	270	9	4b2	CARDINAL
ejpam-5323	270	10	4bc	ORDINAL
ejpam-5323	270	11	8bc− 8b2)	QUANTITY
ejpam-5323	271	1	≈	CARDINAL
ejpam-5323	271	2	2a	CARDINAL
ejpam-5323	271	3	2a−	CARDINAL
ejpam-5323	271	4	2c	CARDINAL
ejpam-5323	272	1	2a)x+(2a−	CARDINAL
ejpam-5323	272	2	0	CARDINAL
ejpam-5323	273	1	2a−	CARDINAL
ejpam-5323	273	2	2b+	CARDINAL
ejpam-5323	274	1	2b−	CARDINAL
ejpam-5323	274	2	3c	CARDINAL
ejpam-5323	275	1	0	CARDINAL
ejpam-5323	276	1	2ab−	CARDINAL
ejpam-5323	277	1	2a)x+	CARDINAL
ejpam-5323	277	2	2a−	CARDINAL
ejpam-5323	277	3	2b−	CARDINAL
ejpam-5323	277	4	2c)z + 2ab−	CARDINAL
ejpam-5323	277	5	0	CARDINAL
ejpam-5323	277	6	berggren	PERSON
ejpam-5323	278	1	berggren	GPE
ejpam-5323	278	2	2x	CARDINAL
ejpam-5323	279	1	3z	CARDINAL
ejpam-5323	279	2	0	CARDINAL
ejpam-5323	280	1	2	CARDINAL
ejpam-5323	281	1	berggren	GPE
ejpam-5323	282	1	berggren	PERSON
ejpam-5323	282	2	0	CARDINAL
ejpam-5323	282	3	0	DATE
ejpam-5323	282	4	0	CARDINAL
ejpam-5323	285	1	2a)x +	DATE
ejpam-5323	285	2	2a	CARDINAL
ejpam-5323	285	3	2c)z	CARDINAL
ejpam-5323	285	4	2ac	ORDINAL
ejpam-5323	286	1	4b2	CARDINAL
ejpam-5323	286	2	0	CARDINAL
ejpam-5323	286	3	0	CARDINAL
ejpam-5323	286	4	0	DATE
ejpam-5323	286	5	0	CARDINAL
ejpam-5323	288	1	0	CARDINAL
ejpam-5323	288	2	0	DATE
ejpam-5323	288	3	0	CARDINAL
ejpam-5323	288	4	2ab −	ORG
ejpam-5323	289	1	4b2	CARDINAL
ejpam-5323	289	2	0	CARDINAL
ejpam-5323	290	1	2bc−	CARDINAL
ejpam-5323	290	2	0	CARDINAL
ejpam-5323	290	3	2b)−	CARDINAL
ejpam-5323	290	4	2b	CARDINAL
ejpam-5323	291	1	2b	CARDINAL
ejpam-5323	292	1	0	CARDINAL
ejpam-5323	292	2	0	CARDINAL
ejpam-5323	292	3	2b	CARDINAL
ejpam-5323	292	4	0	CARDINAL
ejpam-5323	295	1	2b	CARDINAL
ejpam-5323	296	1	2b	CARDINAL
ejpam-5323	296	2	2b	CARDINAL
ejpam-5323	297	1	4	CARDINAL
ejpam-5323	297	2	berggren	GPE
ejpam-5323	299	1	l. kőszegyová	PERSON
ejpam-5323	299	2	e. csókási	PERSON
ejpam-5323	299	3	j. hirjak	PERSON
ejpam-5323	300	1	j. pure	PERSON
ejpam-5323	300	2	17	CARDINAL
ejpam-5323	300	3	3	CARDINAL
ejpam-5323	300	4	2024	CARDINAL
ejpam-5323	300	5	2127	CARDINAL
ejpam-5323	300	6	10	CARDINAL
ejpam-5323	305	1	⊤	ORG
ejpam-5323	305	2	2c	CARDINAL
ejpam-5323	305	3	4a− 4b	DATE
ejpam-5323	305	4	4a−	CARDINAL
ejpam-5323	305	5	q⃗	GPE
ejpam-5323	305	6	⊤	ORG
ejpam-5323	305	7	2c	CARDINAL
ejpam-5323	305	8	4a	CARDINAL
ejpam-5323	305	9	4a	CARDINAL
ejpam-5323	305	10	−2b	ORG
ejpam-5323	305	11	4b	CARDINAL
ejpam-5323	305	12	2b	CARDINAL
ejpam-5323	306	1	q⃗ ̸= 0	FAC
ejpam-5323	306	2	p⃗	ORG
ejpam-5323	306	3	0	CARDINAL
ejpam-5323	306	4	1	CARDINAL
ejpam-5323	307	1	p⃗	PERSON
ejpam-5323	307	2	q⃗	DATE
ejpam-5323	308	1	2c	CARDINAL
ejpam-5323	308	2	4a− 4b	DATE
ejpam-5323	308	3	4a− 2b	CARDINAL
ejpam-5323	309	1	2c	CARDINAL
ejpam-5323	309	2	4a	CARDINAL
ejpam-5323	309	3	4a	CARDINAL
ejpam-5323	311	1	16a2	CARDINAL
ejpam-5323	313	1	0	CARDINAL
ejpam-5323	314	1	20c2	CARDINAL
ejpam-5323	314	2	24b2	CARDINAL
ejpam-5323	314	3	4bc	ORDINAL
ejpam-5323	314	4	0 5c2	CARDINAL
ejpam-5323	315	1	6b2	CARDINAL
ejpam-5323	315	2	bc	ORG
ejpam-5323	316	1	0 6b2 +	CARDINAL
ejpam-5323	316	2	5c2	CARDINAL
ejpam-5323	319	1	2.	CARDINAL
ejpam-5323	319	2	p⃗	PERSON
ejpam-5323	319	3	0	CARDINAL
ejpam-5323	320	1	p⃗	GPE
ejpam-5323	320	2	2c	CARDINAL
ejpam-5323	320	3	4a− 4b	DATE
ejpam-5323	320	4	4a− 2b	CARDINAL
ejpam-5323	320	5	−2b	ORG
ejpam-5323	320	6	4b	CARDINAL
ejpam-5323	320	7	2b	CARDINAL
ejpam-5323	320	8	0	CARDINAL
ejpam-5323	321	1	+ 24ab−	CARDINAL
ejpam-5323	322	1	0	CARDINAL
ejpam-5323	323	1	5(2mn)−	CARDINAL
ejpam-5323	325	1	10mn− 5m2	CARDINAL
ejpam-5323	325	2	n ∈ n	ORG
ejpam-5323	328	1	p⃗	PERSON
ejpam-5323	328	2	0	CARDINAL
ejpam-5323	328	3	3	CARDINAL
ejpam-5323	329	1	q⃗	EVENT
ejpam-5323	329	2	0	CARDINAL
ejpam-5323	330	1	q⃗	GPE
ejpam-5323	330	2	2c	CARDINAL
ejpam-5323	330	3	4a	CARDINAL
ejpam-5323	330	4	4a	CARDINAL
ejpam-5323	330	5	−2b	ORG
ejpam-5323	330	6	4b	CARDINAL
ejpam-5323	330	7	2b	CARDINAL
ejpam-5323	330	8	4bc+	CARDINAL
ejpam-5323	331	1	0 b−	GPE
ejpam-5323	331	2	6a	CARDINAL
ejpam-5323	331	3	0	CARDINAL
ejpam-5323	331	4	2mn−	CARDINAL
ejpam-5323	332	1	l. kőszegyová	PERSON
ejpam-5323	332	2	e. csókási	PERSON
ejpam-5323	332	3	j. hirjak	PERSON
ejpam-5323	333	1	j. pure	PERSON
ejpam-5323	333	2	17	CARDINAL
ejpam-5323	333	3	3	CARDINAL
ejpam-5323	333	4	2024	CARDINAL
ejpam-5323	333	5	2127-2141 2139	CARDINAL
ejpam-5323	333	6	5m2	CARDINAL
ejpam-5323	333	7	n ∈ n	ORG
ejpam-5323	335	1	11	CARDINAL
ejpam-5323	340	1	q⃗	GPE
ejpam-5323	340	2	p⃗ = m2r	PERSON
ejpam-5323	340	3	⊤	ORG
ejpam-5323	340	4	2c	CARDINAL
ejpam-5323	340	5	4a− 4b	DATE
ejpam-5323	340	6	4a−	CARDINAL
ejpam-5323	340	7	q⃗	GPE
ejpam-5323	340	8	⊤	ORG
ejpam-5323	340	9	2c	CARDINAL
ejpam-5323	340	10	4a	CARDINAL
ejpam-5323	340	11	4a	CARDINAL
ejpam-5323	340	12	−2b	ORG
ejpam-5323	340	13	4b	CARDINAL
ejpam-5323	340	14	2b	CARDINAL
ejpam-5323	341	1	2 √ 9a2	DATE
ejpam-5323	342	1	12ab+ 6b2	CARDINAL
ejpam-5323	343	1	2 √	DATE
ejpam-5323	344	1	2 √ 6b2	DATE
ejpam-5323	345	1	1	CARDINAL
ejpam-5323	346	1	9a2	CARDINAL
ejpam-5323	347	1	12ab+ 6b2	CARDINAL
ejpam-5323	347	2	2bc+ b2 + 8a2 9a2	DATE
ejpam-5323	348	1	12ab+ 6b2	CARDINAL
ejpam-5323	348	2	2bc+	CARDINAL
ejpam-5323	348	3	6ab+	CARDINAL
ejpam-5323	348	4	0	CARDINAL
ejpam-5323	349	1	2mn)(m2 +	DATE
ejpam-5323	349	2	6(m2	CARDINAL
ejpam-5323	352	1	6m2 + 6n2	DATE
ejpam-5323	352	2	0	CARDINAL
ejpam-5323	352	3	5m5	CARDINAL
ejpam-5323	352	4	7n2 + 1	DATE
ejpam-5323	352	5	0	CARDINAL
ejpam-5323	352	6	2	CARDINAL
ejpam-5323	353	1	2	CARDINAL
ejpam-5323	355	1	9a2	CARDINAL
ejpam-5323	355	2	12ab+ 6b2	CARDINAL
ejpam-5323	355	3	6b2	CARDINAL
ejpam-5323	355	4	0	CARDINAL
ejpam-5323	355	5	3a	CARDINAL
ejpam-5323	355	6	4b	CARDINAL
ejpam-5323	356	1	3a	CARDINAL
ejpam-5323	356	2	4b	CARDINAL
ejpam-5323	357	1	3	CARDINAL
ejpam-5323	358	1	2bc+	CARDINAL
ejpam-5323	358	2	6b2	CARDINAL
ejpam-5323	358	3	2140	CARDINAL
ejpam-5323	358	4	2bc−	CARDINAL
ejpam-5323	358	5	0 9c2	CARDINAL
ejpam-5323	358	6	0	CARDINAL
ejpam-5323	358	7	13b	DATE
ejpam-5323	360	1	6	CARDINAL
ejpam-5323	363	1	5	CARDINAL
ejpam-5323	363	2	three	CARDINAL
ejpam-5323	363	3	three	CARDINAL
ejpam-5323	364	1	three	CARDINAL
ejpam-5323	364	2	berggren	PERSON
ejpam-5323	366	1	berggren	PERSON
ejpam-5323	371	1	european union	ORG
ejpam-5323	371	2	vvgs-2023-3000	DATE
ejpam-5323	372	1	1	CARDINAL
ejpam-5323	374	1	36	CARDINAL
ejpam-5323	374	2	2020	DATE
ejpam-5323	375	1	2	CARDINAL
ejpam-5323	375	2	r. amato	PERSON
ejpam-5323	378	1	j. pure	PERSON
ejpam-5323	379	1	17(2):676–689	DATE
ejpam-5323	379	2	2024	DATE
ejpam-5323	380	1	3	CARDINAL
ejpam-5323	380	2	al	PERSON
ejpam-5323	382	1	j. number	PERSON
ejpam-5323	382	2	11(2):613–619	CARDINAL
ejpam-5323	382	3	2015	DATE
ejpam-5323	383	1	4	CARDINAL
ejpam-5323	383	2	j. austin	PERSON
ejpam-5323	384	1	missouri	GPE
ejpam-5323	385	1	sci.	ORG
ejpam-5323	385	2	31(2):136–145	DATE
ejpam-5323	385	3	2019	DATE
ejpam-5323	386	1	2141	CARDINAL
ejpam-5323	386	2	5	CARDINAL
ejpam-5323	386	3	s.a. bhanotar	PERSON
ejpam-5323	389	1	palestine journal of mathematics	ORG
ejpam-5323	389	2	11(4):119–129	CARDINAL
ejpam-5323	389	3	2022	CARDINAL
ejpam-5323	390	1	6	CARDINAL
ejpam-5323	390	2	ochien et	PERSON
ejpam-5323	392	1	2019	DATE
ejpam-5323	393	1	7	CARDINAL
ejpam-5323	393	2	a. hall	PERSON
ejpam-5323	394	1	pythagorean	ORG
ejpam-5323	396	1	gazette	ORG
ejpam-5323	396	2	54(390):377–379, 1970	DATE
ejpam-5323	397	1	8	CARDINAL
ejpam-5323	397	2	j. hirjak	PERSON
ejpam-5323	399	1	p.j	GPE
ejpam-5323	399	2	šafárik university	ORG
ejpam-5323	399	3	2022	CARDINAL
ejpam-5323	400	1	9	CARDINAL
ejpam-5323	400	2	l. janičková	PERSON
ejpam-5323	400	3	e. csókási	PERSON
ejpam-5323	401	1	berggren tree	ORG
ejpam-5323	401	2	2023	CARDINAL
ejpam-5323	402	1	10	CARDINAL
ejpam-5323	402	2	e. maor	PERSON
ejpam-5323	403	1	pythagorean	ORG
ejpam-5323	403	2	princeton university press	ORG
ejpam-5323	403	3	new jersey	GPE
ejpam-5323	403	4	2007	DATE
ejpam-5323	404	1	11	CARDINAL
ejpam-5323	406	1	2016	DATE
ejpam-5323	407	1	12	CARDINAL
ejpam-5323	409	1	arxiv:0809.4324, 2008	DATE
ejpam-5323	410	1	13	CARDINAL
ejpam-5323	410	2	w. sierpinski	PERSON
ejpam-5323	412	1	panstwowe wydawnictwo naukowe	ORG
ejpam-5323	412	2	warszawa	GPE
ejpam-5323	412	3	poland	GPE
ejpam-5323	412	4	1969	DATE
ejpam-5323	413	1	14	CARDINAL
ejpam-5323	413	2	a. tripathi	PERSON
ejpam-5323	415	1	fibonacci quart	ORG
ejpam-5323	416	1	46	CARDINAL
ejpam-5323	417	1	15	CARDINAL
ejpam-5323	420	1	j. innov	PERSON
ejpam-5323	421	1	sci	ORG
ejpam-5323	422	1	eng	PERSON
ejpam-5323	422	2	technol	PERSON
ejpam-5323	422	3	8(12):832–837	CARDINAL
ejpam-5323	422	4	2019	DATE