id	sid	eid	entity	type
ejpam-3947	1	1	european journal	ORG
ejpam-3947	2	1	14	DATE
ejpam-3947	2	2	2	CARDINAL
ejpam-3947	2	3	2021	DATE
ejpam-3947	2	4	471	CARDINAL
ejpam-3947	2	5	1307-5543	DATE
ejpam-3947	3	1	new york	GPE
ejpam-3947	3	2	4k)y	CARDINAL
ejpam-3947	3	3	4k	CARDINAL
ejpam-3947	3	4	renz jimwel s. mina1	PERSON
ejpam-3947	3	5	jerico b. bacani1,∗ department	PERSON
ejpam-3947	3	6	philippines	GPE
ejpam-3947	3	7	baguio	GPE
ejpam-3947	3	8	baguio	GPE
ejpam-3947	3	9	2600	CARDINAL
ejpam-3947	3	10	benguet	ORG
ejpam-3947	3	11	philippines	GPE
ejpam-3947	4	1	4k)y	CARDINAL
ejpam-3947	4	2	n0	GPE
ejpam-3947	5	1	first	ORDINAL
ejpam-3947	6	1	∈	ORG
ejpam-3947	8	1	k ≥ 2.	ORG
ejpam-3947	9	1	3, 11	DATE
ejpam-3947	9	2	5	DATE
ejpam-3947	9	3	2	DATE
ejpam-3947	9	4	122	CARDINAL
ejpam-3947	9	5	1	CARDINAL
ejpam-3947	9	6	1	CARDINAL
ejpam-3947	10	1	2020	DATE
ejpam-3947	10	2	11a07, 11a41	DATE
ejpam-3947	10	3	11d61	CARDINAL
ejpam-3947	10	4	11d72	CARDINAL
ejpam-3947	10	5	legendre symbol 1	PERSON
ejpam-3947	11	1	1	CARDINAL
ejpam-3947	11	2	q.	PERSON
ejpam-3947	11	3	1	CARDINAL
ejpam-3947	11	4	2	DATE
ejpam-3947	11	5	11	DATE
ejpam-3947	11	6	14–17	CARDINAL
ejpam-3947	11	7	19	CARDINAL
ejpam-3947	12	1	20	CARDINAL
ejpam-3947	13	1	2015	DATE
ejpam-3947	13	2	bacani	GPE
ejpam-3947	13	3	3	CARDINAL
ejpam-3947	13	4	+ qy	PERSON
ejpam-3947	13	5	2	CARDINAL
ejpam-3947	14	1	n0	NORP
ejpam-3947	15	1	2018	DATE
ejpam-3947	15	2	4	CARDINAL
ejpam-3947	16	1	+ 4	DATE
ejpam-3947	17	1	2	CARDINAL
ejpam-3947	17	2	3	DATE
ejpam-3947	17	3	4	DATE
ejpam-3947	17	4	2018	DATE
ejpam-3947	17	5	13	CARDINAL
ejpam-3947	17	6	8)	CARDINAL
ejpam-3947	17	7	3	CARDINAL
ejpam-3947	17	8	8	CARDINAL
ejpam-3947	18	1	dockan	ORG
ejpam-3947	19	1	6	CARDINAL
ejpam-3947	19	2	20)y	CARDINAL
ejpam-3947	19	3	20	CARDINAL
ejpam-3947	21	1	rsmina1@up.edu.ph	PERSON
ejpam-3947	21	2	r. j. s. mina	PERSON
ejpam-3947	22	1	jbbacani@up.edu.ph	PERSON
ejpam-3947	22	2	j. b. bacani	PERSON
ejpam-3947	23	1	471	CARDINAL
ejpam-3947	23	2	2021	CARDINAL
ejpam-3947	24	1	r. j. s. mina	PERSON
ejpam-3947	24	2	j. b. bacani	PERSON
ejpam-3947	25	1	j. pure	PERSON
ejpam-3947	25	2	14	CARDINAL
ejpam-3947	25	3	2	CARDINAL
ejpam-3947	25	4	2021	CARDINAL
ejpam-3947	25	5	471	CARDINAL
ejpam-3947	25	6	k ∈ n	PERSON
ejpam-3947	26	1	first	ORDINAL
ejpam-3947	26	2	1	CARDINAL
ejpam-3947	27	1	4)y	CARDINAL
ejpam-3947	27	2	2	CARDINAL
ejpam-3947	27	3	+ 4	DATE
ejpam-3947	28	1	4	CARDINAL
ejpam-3947	29	1	4)y	CARDINAL
ejpam-3947	30	1	4k)y	CARDINAL
ejpam-3947	30	2	k ≥ 2 (	ORG
ejpam-3947	30	3	3	CARDINAL
ejpam-3947	30	4	4k	CARDINAL
ejpam-3947	31	1	2	CARDINAL
ejpam-3947	31	2	one	CARDINAL
ejpam-3947	31	3	5	CARDINAL
ejpam-3947	32	1	linear	ORG
ejpam-3947	32	2	two	CARDINAL
ejpam-3947	33	1	indian	NORP
ejpam-3947	33	2	first	ORDINAL
ejpam-3947	35	1	18	CARDINAL
ejpam-3947	36	1	one	CARDINAL
ejpam-3947	36	2	linear	ORG
ejpam-3947	37	1	linear	ORG
ejpam-3947	38	1	two	CARDINAL
ejpam-3947	38	2	g, h,	ORG
ejpam-3947	41	1	4	CARDINAL
ejpam-3947	41	2	3	CARDINAL
ejpam-3947	41	3	4	DATE
ejpam-3947	41	4	5	DATE
ejpam-3947	41	5	5	CARDINAL
ejpam-3947	41	6	12	DATE
ejpam-3947	41	7	13	DATE
ejpam-3947	41	8	7	CARDINAL
ejpam-3947	41	9	24	DATE
ejpam-3947	41	10	25	DATE
ejpam-3947	41	11	4	CARDINAL
ejpam-3947	42	1	fermat	ORG
ejpam-3947	43	1	z for n > 2	WORK_OF_ART
ejpam-3947	45	1	keskin	PERSON
ejpam-3947	52	1	abu muriefah	PERSON
ejpam-3947	52	2	al-rashed	PERSON
ejpam-3947	52	3	12	CARDINAL
ejpam-3947	52	4	4pm	TIME
ejpam-3947	52	5	soydan	PERSON
ejpam-3947	52	6	10	CARDINAL
ejpam-3947	52	7	2	CARDINAL
ejpam-3947	52	8	acu	ORG
ejpam-3947	52	9	sroysang	PERSON
ejpam-3947	53	1	1	CARDINAL
ejpam-3947	53	2	2	DATE
ejpam-3947	53	3	4	DATE
ejpam-3947	53	4	6	DATE
ejpam-3947	53	5	19	DATE
ejpam-3947	53	6	20	CARDINAL
ejpam-3947	54	1	3	CARDINAL
ejpam-3947	54	2	3.1	CARDINAL
ejpam-3947	55	1	4)y	CARDINAL
ejpam-3947	55	2	two	CARDINAL
ejpam-3947	56	1	r. j. s. mina	PERSON
ejpam-3947	56	2	j. b. bacani	PERSON
ejpam-3947	57	1	j. pure	PERSON
ejpam-3947	57	2	14	CARDINAL
ejpam-3947	57	3	2	CARDINAL
ejpam-3947	57	4	2021	CARDINAL
ejpam-3947	57	5	471	CARDINAL
ejpam-3947	57	6	1	CARDINAL
ejpam-3947	58	1	2	CARDINAL
ejpam-3947	58	2	+ 4	DATE
ejpam-3947	58	3	n0	GPE
ejpam-3947	61	1	2	CARDINAL
ejpam-3947	61	2	4	CARDINAL
ejpam-3947	61	3	first	ORDINAL
ejpam-3947	61	4	+ 4	DATE
ejpam-3947	61	5	2	CARDINAL
ejpam-3947	61	6	1	CARDINAL
ejpam-3947	61	7	−1	DATE
ejpam-3947	61	8	mod 4	ORG
ejpam-3947	62	1	+ qy	PERSON
ejpam-3947	62	2	z2 ≡	ORG
ejpam-3947	65	1	1	CARDINAL
ejpam-3947	65	2	1 + 1	CARDINAL
ejpam-3947	65	3	2	CARDINAL
ejpam-3947	66	1	−1	DATE
ejpam-3947	66	2	mod 4	ORG
ejpam-3947	66	3	2	CARDINAL
ejpam-3947	67	1	+ qy 6≡ z2	PERSON
ejpam-3947	69	1	2	CARDINAL
ejpam-3947	70	1	2	CARDINAL
ejpam-3947	70	2	two	CARDINAL
ejpam-3947	70	3	n0	GPE
ejpam-3947	70	4	3	CARDINAL
ejpam-3947	70	5	7	DATE
ejpam-3947	70	6	1	CARDINAL
ejpam-3947	70	7	0	CARDINAL
ejpam-3947	70	8	2	CARDINAL
ejpam-3947	70	9	3	CARDINAL
ejpam-3947	70	10	7	DATE
ejpam-3947	70	11	2	DATE
ejpam-3947	70	12	1	DATE
ejpam-3947	70	13	4	CARDINAL
ejpam-3947	72	1	1	CARDINAL
ejpam-3947	72	2	2l	CARDINAL
ejpam-3947	75	1	1	CARDINAL
ejpam-3947	76	1	2ql	ORDINAL
ejpam-3947	77	1	6= 2	DATE
ejpam-3947	77	2	1	CARDINAL
ejpam-3947	78	1	1)(px−1 +	DATE
ejpam-3947	79	1	+ 1	DATE
ejpam-3947	79	2	2ql	ORDINAL
ejpam-3947	80	1	5	CARDINAL
ejpam-3947	81	1	1	CARDINAL
ejpam-3947	81	2	2qj	ORDINAL
ejpam-3947	81	3	j ≤ l. if	PERSON
ejpam-3947	83	1	3	CARDINAL
ejpam-3947	83	2	5	CARDINAL
ejpam-3947	84	1	3x−1 +	DATE
ejpam-3947	85	1	+ 1	DATE
ejpam-3947	85	2	7l	CARDINAL
ejpam-3947	86	1	6	CARDINAL
ejpam-3947	86	2	1 to (	CARDINAL
ejpam-3947	86	3	6	CARDINAL
ejpam-3947	86	4	3	CARDINAL
ejpam-3947	86	5	7	DATE
ejpam-3947	86	6	1	CARDINAL
ejpam-3947	86	7	0	CARDINAL
ejpam-3947	86	8	2	CARDINAL
ejpam-3947	86	9	2	CARDINAL
ejpam-3947	87	1	1	CARDINAL
ejpam-3947	88	1	1	CARDINAL
ejpam-3947	88	2	7	CARDINAL
ejpam-3947	88	3	6	CARDINAL
ejpam-3947	88	4	3x−1 +	DATE
ejpam-3947	89	1	+ 1	CARDINAL
ejpam-3947	89	2	0	CARDINAL
ejpam-3947	90	1	3	CARDINAL
ejpam-3947	90	2	1	CARDINAL
ejpam-3947	90	3	3x	CARDINAL
ejpam-3947	90	4	1	CARDINAL
ejpam-3947	90	5	0	CARDINAL
ejpam-3947	91	1	3x	CARDINAL
ejpam-3947	91	2	1	CARDINAL
ejpam-3947	93	1	2	CARDINAL
ejpam-3947	93	2	2	CARDINAL
ejpam-3947	93	3	∈	ORG
ejpam-3947	94	1	1	CARDINAL
ejpam-3947	94	2	1	CARDINAL
ejpam-3947	94	3	2pm	TIME
ejpam-3947	97	1	+ 1	DATE
ejpam-3947	97	2	2pm	TIME
ejpam-3947	97	3	7	CARDINAL
ejpam-3947	97	4	q− 1	DATE
ejpam-3947	97	5	2pj	ORDINAL
ejpam-3947	97	6	3	CARDINAL
ejpam-3947	98	1	1	CARDINAL
ejpam-3947	99	1	1	CARDINAL
ejpam-3947	100	1	+ 3 < 2pj	DATE
ejpam-3947	100	2	j = 1	PERSON
ejpam-3947	101	1	7	CARDINAL
ejpam-3947	101	2	7y−1 + 7y−2 + ·	ORG
ejpam-3947	102	1	+ 1	DATE
ejpam-3947	102	2	3m−1	CARDINAL
ejpam-3947	103	1	8)	CARDINAL
ejpam-3947	103	2	1	CARDINAL
ejpam-3947	103	3	1	CARDINAL
ejpam-3947	103	4	3	CARDINAL
ejpam-3947	103	5	7	DATE
ejpam-3947	103	6	2	DATE
ejpam-3947	103	7	1	DATE
ejpam-3947	103	8	4	CARDINAL
ejpam-3947	103	9	2	CARDINAL
ejpam-3947	104	1	1	CARDINAL
ejpam-3947	104	2	1	CARDINAL
ejpam-3947	105	1	3	CARDINAL
ejpam-3947	105	2	1 + 1	CARDINAL
ejpam-3947	105	3	0	CARDINAL
ejpam-3947	108	1	3y1	CARDINAL
ejpam-3947	108	2	r. j. s. mina	PERSON
ejpam-3947	108	3	j. b. bacani	PERSON
ejpam-3947	109	1	j. pure	PERSON
ejpam-3947	109	2	14	CARDINAL
ejpam-3947	109	3	2	CARDINAL
ejpam-3947	109	4	2021	CARDINAL
ejpam-3947	109	5	471	CARDINAL
ejpam-3947	109	6	73y1−1 +	DATE
ejpam-3947	111	1	+ 1	DATE
ejpam-3947	111	2	3m−1	CARDINAL
ejpam-3947	112	1	7	CARDINAL
ejpam-3947	112	2	1	CARDINAL
ejpam-3947	112	3	73y1	CARDINAL
ejpam-3947	112	4	1	CARDINAL
ejpam-3947	112	5	6	CARDINAL
ejpam-3947	112	6	3m−1	CARDINAL
ejpam-3947	112	7	2	CARDINAL
ejpam-3947	112	8	3	CARDINAL
ejpam-3947	112	9	m.	PERSON
ejpam-3947	112	10	73	CARDINAL
ejpam-3947	112	11	1	CARDINAL
ejpam-3947	113	1	2	CARDINAL
ejpam-3947	113	2	3	CARDINAL
ejpam-3947	113	3	2	CARDINAL
ejpam-3947	113	4	32	DATE
ejpam-3947	113	5	19	DATE
ejpam-3947	113	6	2	CARDINAL
ejpam-3947	113	7	3	CARDINAL
ejpam-3947	113	8	19	CARDINAL
ejpam-3947	113	9	2	CARDINAL
ejpam-3947	113	10	3	CARDINAL
ejpam-3947	113	11	m.	PERSON
ejpam-3947	113	12	2	CARDINAL
ejpam-3947	113	13	two	CARDINAL
ejpam-3947	113	14	1	CARDINAL
ejpam-3947	114	1	2	CARDINAL
ejpam-3947	114	2	two	CARDINAL
ejpam-3947	114	3	n0	GPE
ejpam-3947	114	4	3	CARDINAL
ejpam-3947	114	5	7	DATE
ejpam-3947	114	6	1	CARDINAL
ejpam-3947	114	7	0	CARDINAL
ejpam-3947	114	8	2	CARDINAL
ejpam-3947	114	9	3	CARDINAL
ejpam-3947	114	10	7	DATE
ejpam-3947	114	11	2	DATE
ejpam-3947	114	12	1	DATE
ejpam-3947	114	13	4	CARDINAL
ejpam-3947	116	1	1	CARDINAL
ejpam-3947	117	1	two	CARDINAL
ejpam-3947	117	2	n0	GPE
ejpam-3947	117	3	3	CARDINAL
ejpam-3947	117	4	7	DATE
ejpam-3947	117	5	1	CARDINAL
ejpam-3947	117	6	0	CARDINAL
ejpam-3947	117	7	2	CARDINAL
ejpam-3947	117	8	1	CARDINAL
ejpam-3947	117	9	3	CARDINAL
ejpam-3947	117	10	7	DATE
ejpam-3947	117	11	2	DATE
ejpam-3947	117	12	1	DATE
ejpam-3947	117	13	2	DATE
ejpam-3947	117	14	2	CARDINAL
ejpam-3947	120	1	1	CARDINAL
ejpam-3947	120	2	only two	CARDINAL
ejpam-3947	120	3	n0	GPE
ejpam-3947	121	1	2	CARDINAL
ejpam-3947	121	2	4	CARDINAL
ejpam-3947	122	1	first	ORDINAL
ejpam-3947	122	2	2	CARDINAL
ejpam-3947	122	3	3, 7	DATE
ejpam-3947	122	4	1	CARDINAL
ejpam-3947	122	5	0	CARDINAL
ejpam-3947	122	6	2	CARDINAL
ejpam-3947	122	7	1	CARDINAL
ejpam-3947	123	1	second	ORDINAL
ejpam-3947	123	2	4	CARDINAL
ejpam-3947	123	3	1	CARDINAL
ejpam-3947	123	4	2	CARDINAL
ejpam-3947	123	5	2	CARDINAL
ejpam-3947	124	1	2	CARDINAL
ejpam-3947	124	2	2	CARDINAL
ejpam-3947	125	1	3	CARDINAL
ejpam-3947	125	2	7	DATE
ejpam-3947	125	3	2	DATE
ejpam-3947	125	4	1	DATE
ejpam-3947	125	5	2	DATE
ejpam-3947	125	6	2	CARDINAL
ejpam-3947	126	1	1	CARDINAL
ejpam-3947	127	1	3.2	CARDINAL
ejpam-3947	128	1	4k)y	CARDINAL
ejpam-3947	128	2	3	CARDINAL
ejpam-3947	128	3	4k	CARDINAL
ejpam-3947	128	4	k ≥ 2	ORG
ejpam-3947	129	1	first	ORDINAL
ejpam-3947	129	2	1	CARDINAL
ejpam-3947	129	3	2	CARDINAL
ejpam-3947	129	4	3	CARDINAL
ejpam-3947	129	5	4k	CARDINAL
ejpam-3947	129	6	n0	GPE
ejpam-3947	132	1	1	CARDINAL
ejpam-3947	132	2	1	CARDINAL
ejpam-3947	133	1	2	CARDINAL
ejpam-3947	134	1	−1	DATE
ejpam-3947	134	2	mod 4	ORG
ejpam-3947	134	3	4k	CARDINAL
ejpam-3947	134	4	−1	DATE
ejpam-3947	134	5	mod 4	ORG
ejpam-3947	134	6	4k)y	ORG
ejpam-3947	134	7	−1	DATE
ejpam-3947	135	1	2	CARDINAL
ejpam-3947	137	1	0	CARDINAL
ejpam-3947	138	1	4k)y 6≡ z2	QUANTITY
ejpam-3947	139	1	r. j. s. mina	PERSON
ejpam-3947	139	2	j. b. bacani	PERSON
ejpam-3947	140	1	j. pure	PERSON
ejpam-3947	140	2	14	CARDINAL
ejpam-3947	140	3	2	CARDINAL
ejpam-3947	140	4	2021	CARDINAL
ejpam-3947	140	5	471	CARDINAL
ejpam-3947	141	1	4k)y	ORG
ejpam-3947	141	2	1	CARDINAL
ejpam-3947	142	1	2	CARDINAL
ejpam-3947	143	1	4k)y 6≡ z2	QUANTITY
ejpam-3947	144	1	3	CARDINAL
ejpam-3947	144	2	n0	GPE
ejpam-3947	145	1	1	CARDINAL
ejpam-3947	146	1	three	CARDINAL
ejpam-3947	146	2	1	CARDINAL
ejpam-3947	147	1	1 or	CARDINAL
ejpam-3947	147	2	1	CARDINAL
ejpam-3947	147	3	2	CARDINAL
ejpam-3947	147	4	1	CARDINAL
ejpam-3947	147	5	1 odd	CARDINAL
ejpam-3947	147	6	3	CARDINAL
ejpam-3947	147	7	1 odd	CARDINAL
ejpam-3947	147	8	1	CARDINAL
ejpam-3947	148	1	first	ORDINAL
ejpam-3947	149	1	3	CARDINAL
ejpam-3947	149	2	3	CARDINAL
ejpam-3947	149	3	4k	CARDINAL
ejpam-3947	149	4	1	CARDINAL
ejpam-3947	149	5	1	CARDINAL
ejpam-3947	150	1	3	CARDINAL
ejpam-3947	150	2	3	CARDINAL
ejpam-3947	151	1	2	CARDINAL
ejpam-3947	152	1	2pm −	TIME
ejpam-3947	152	2	1)/4	DATE
ejpam-3947	154	1	firstly	ORDINAL
ejpam-3947	155	1	4k)y	CARDINAL
ejpam-3947	156	1	4k	CARDINAL
ejpam-3947	160	1	0	CARDINAL
ejpam-3947	161	1	3	CARDINAL
ejpam-3947	163	1	+ 4k)m	DATE
ejpam-3947	163	2	1	CARDINAL
ejpam-3947	164	1	+ 4k)m	DATE
ejpam-3947	166	1	2(p+	CARDINAL
ejpam-3947	168	1	0	CARDINAL
ejpam-3947	169	1	−1	DATE
ejpam-3947	169	2	mod 4	ORG
ejpam-3947	170	1	+ 4k	DATE
ejpam-3947	171	1	2	CARDINAL
ejpam-3947	172	1	2pm	TIME
ejpam-3947	172	2	1 4	CARDINAL
ejpam-3947	173	1	−1	DATE
ejpam-3947	173	2	mod 4	ORG
ejpam-3947	173	3	integer m.	PERSON
ejpam-3947	173	4	2	CARDINAL
ejpam-3947	173	5	−1	DATE
ejpam-3947	173	6	mod 4	ORG
ejpam-3947	173	7	2pm	TIME
ejpam-3947	173	8	1 4	CARDINAL
ejpam-3947	176	1	3	CARDINAL
ejpam-3947	176	2	2	CARDINAL
ejpam-3947	176	3	2pm	TIME
ejpam-3947	176	4	1 4	CARDINAL
ejpam-3947	177	1	3	CARDINAL
ejpam-3947	177	2	11	CARDINAL
ejpam-3947	177	3	23	DATE
ejpam-3947	177	4	2	DATE
ejpam-3947	177	5	1	DATE
ejpam-3947	177	6	12	DATE
ejpam-3947	177	7	3, 19	DATE
ejpam-3947	177	8	4	DATE
ejpam-3947	177	9	1	DATE
ejpam-3947	177	10	10	CARDINAL
ejpam-3947	177	11	3	CARDINAL
ejpam-3947	177	12	163	DATE
ejpam-3947	177	13	8	DATE
ejpam-3947	177	14	1	DATE
ejpam-3947	177	15	82	CARDINAL
ejpam-3947	179	1	4	CARDINAL
ejpam-3947	179	2	3	CARDINAL
ejpam-3947	179	3	4k	CARDINAL
ejpam-3947	180	1	1	CARDINAL
ejpam-3947	180	2	1	CARDINAL
ejpam-3947	181	1	3	CARDINAL
ejpam-3947	181	2	4k	CARDINAL
ejpam-3947	181	3	3, 11	DATE
ejpam-3947	181	4	5	DATE
ejpam-3947	181	5	4	DATE
ejpam-3947	181	6	122	CARDINAL
ejpam-3947	183	1	2l	CARDINAL
ejpam-3947	184	1	4k	CARDINAL
ejpam-3947	190	1	1	CARDINAL
ejpam-3947	194	1	1 and z	CARDINAL
ejpam-3947	196	1	2ql	ORG
ejpam-3947	196	2	− 1	PERSON
ejpam-3947	197	1	2ql	ORG
ejpam-3947	197	2	1)(1 +	MONEY
ejpam-3947	200	1	3	CARDINAL
ejpam-3947	201	1	1	CARDINAL
ejpam-3947	201	2	2qj	ORDINAL
ejpam-3947	201	3	2(p + 4k)j	DATE
ejpam-3947	204	1	3	CARDINAL
ejpam-3947	205	1	3x	CARDINAL
ejpam-3947	205	2	1	CARDINAL
ejpam-3947	205	3	2(3 + 4k)l	DATE
ejpam-3947	206	1	r. j. s. mina	PERSON
ejpam-3947	206	2	j. b. bacani	PERSON
ejpam-3947	207	1	j. pure	PERSON
ejpam-3947	207	2	14	CARDINAL
ejpam-3947	207	3	2	CARDINAL
ejpam-3947	207	4	2021	CARDINAL
ejpam-3947	207	5	471	CARDINAL
ejpam-3947	208	1	3x	CARDINAL
ejpam-3947	208	2	1	CARDINAL
ejpam-3947	208	3	2(3 + 4k)l	DATE
ejpam-3947	208	4	3 k	QUANTITY
ejpam-3947	208	5	3 3 + 4k	DATE
ejpam-3947	208	6	1	CARDINAL
ejpam-3947	209	1	3 3 +	CARDINAL
ejpam-3947	209	2	1	CARDINAL
ejpam-3947	210	1	3 + 4k 3	DATE
ejpam-3947	210	2	3−1	CARDINAL
ejpam-3947	210	3	3+4k−1 2	CARDINAL
ejpam-3947	210	4	3 3 + 4k	DATE
ejpam-3947	210	5	−1	DATE
ejpam-3947	211	1	k ≡ 2	ORG
ejpam-3947	215	1	3x	CARDINAL
ejpam-3947	215	2	1	CARDINAL
ejpam-3947	215	3	2(3 + 4k)l	DATE
ejpam-3947	215	4	2(11 + 12a)l	DATE
ejpam-3947	216	1	2(−1)l	CARDINAL
ejpam-3947	216	2	3	CARDINAL
ejpam-3947	217	1	2r	CARDINAL
ejpam-3947	217	2	r.	NORP
ejpam-3947	218	1	3x	CARDINAL
ejpam-3947	218	2	1	CARDINAL
ejpam-3947	219	1	2.3	CARDINAL
ejpam-3947	219	2	8	CARDINAL
ejpam-3947	219	3	3n	CARDINAL
ejpam-3947	219	4	only three	CARDINAL
ejpam-3947	219	5	1	CARDINAL
ejpam-3947	219	6	1	CARDINAL
ejpam-3947	219	7	2	CARDINAL
ejpam-3947	219	8	2	DATE
ejpam-3947	219	9	11	CARDINAL
ejpam-3947	219	10	5	DATE
ejpam-3947	220	1	5	CARDINAL
ejpam-3947	220	2	11 + 12a)r	DATE
ejpam-3947	220	3	11	CARDINAL
ejpam-3947	220	4	11 + 12a	CARDINAL
ejpam-3947	220	5	11	CARDINAL
ejpam-3947	220	6	1	CARDINAL
ejpam-3947	221	1	2l	CARDINAL
ejpam-3947	221	2	4r	CARDINAL
ejpam-3947	221	3	4	CARDINAL
ejpam-3947	222	1	4k)y	CARDINAL
ejpam-3947	222	2	1	CARDINAL
ejpam-3947	222	3	1	CARDINAL
ejpam-3947	222	4	4k	CARDINAL
ejpam-3947	222	5	3, 11	DATE
ejpam-3947	222	6	5	DATE
ejpam-3947	222	7	4	DATE
ejpam-3947	222	8	122	CARDINAL
ejpam-3947	223	1	4	CARDINAL
ejpam-3947	224	1	5	CARDINAL
ejpam-3947	225	1	equation(3	ORG
ejpam-3947	226	1	1	CARDINAL
ejpam-3947	226	2	1	CARDINAL
ejpam-3947	227	1	3	CARDINAL
ejpam-3947	229	1	2pm	TIME
ejpam-3947	230	1	q−1 =	PERSON
ejpam-3947	230	2	2pα	ORDINAL
ejpam-3947	233	1	2pα	ORDINAL
ejpam-3947	233	2	3	CARDINAL
ejpam-3947	234	1	3	CARDINAL
ejpam-3947	234	2	4k	CARDINAL
ejpam-3947	235	1	2pα	ORDINAL
ejpam-3947	235	2	1	CARDINAL
ejpam-3947	236	1	3	CARDINAL
ejpam-3947	236	2	3	CARDINAL
ejpam-3947	236	3	−1	DATE
ejpam-3947	237	1	1 +	DATE
ejpam-3947	238	1	1	CARDINAL
ejpam-3947	238	2	1	CARDINAL
ejpam-3947	239	1	2r	CARDINAL
ejpam-3947	240	1	1 +	CARDINAL
ejpam-3947	242	1	1− qy 1−	QUANTITY
ejpam-3947	244	1	9	CARDINAL
ejpam-3947	245	1	1 x− 1	QUANTITY
ejpam-3947	245	2	1	CARDINAL
ejpam-3947	245	3	1	CARDINAL
ejpam-3947	245	4	2	CARDINAL
ejpam-3947	245	5	r. j. s. mina	PERSON
ejpam-3947	245	6	j. b. bacani	PERSON
ejpam-3947	246	1	j. pure	PERSON
ejpam-3947	246	2	14	CARDINAL
ejpam-3947	246	3	2	CARDINAL
ejpam-3947	246	4	2021	CARDINAL
ejpam-3947	246	5	471	CARDINAL
ejpam-3947	246	6	7	CARDINAL
ejpam-3947	246	7	4	DATE
ejpam-3947	246	8	3	CARDINAL
ejpam-3947	247	1	4k	CARDINAL
ejpam-3947	247	2	7	CARDINAL
ejpam-3947	247	3	2	CARDINAL
ejpam-3947	247	4	1− qy 1−	QUANTITY
ejpam-3947	249	1	3	CARDINAL
ejpam-3947	249	2	1	CARDINAL
ejpam-3947	249	3	1	CARDINAL
ejpam-3947	250	1	lemma 2	ORG
ejpam-3947	250	2	4	CARDINAL
ejpam-3947	250	3	5	DATE
ejpam-3947	251	1	2	CARDINAL
ejpam-3947	253	1	1	CARDINAL
ejpam-3947	253	2	1	CARDINAL
ejpam-3947	253	3	4k	CARDINAL
ejpam-3947	253	4	3, 11	DATE
ejpam-3947	253	5	5	DATE
ejpam-3947	253	6	4	DATE
ejpam-3947	253	7	122	CARDINAL
ejpam-3947	254	1	3.3	CARDINAL
ejpam-3947	254	2	3	CARDINAL
ejpam-3947	254	3	k. theorem 6	PERSON
ejpam-3947	256	1	3	CARDINAL
ejpam-3947	256	2	two	CARDINAL
ejpam-3947	257	1	k.	PERSON
ejpam-3947	259	1	1	CARDINAL
ejpam-3947	259	2	3	CARDINAL
ejpam-3947	260	1	1	CARDINAL
ejpam-3947	260	2	only one	CARDINAL
ejpam-3947	260	3	k.	PERSON
ejpam-3947	260	4	1	CARDINAL
ejpam-3947	260	5	1	CARDINAL
ejpam-3947	260	6	2	CARDINAL
ejpam-3947	260	7	only one	CARDINAL
ejpam-3947	261	1	two	CARDINAL
ejpam-3947	262	1	2	CARDINAL
ejpam-3947	263	1	6	CARDINAL
ejpam-3947	263	2	1	CARDINAL
ejpam-3947	263	3	k ∈ n	ORG
ejpam-3947	264	1	4.	CARDINAL
ejpam-3947	264	2	only two	CARDINAL
ejpam-3947	264	3	2	CARDINAL
ejpam-3947	264	4	n0	GPE
ejpam-3947	264	5	+ 4	DATE
ejpam-3947	265	1	two	CARDINAL
ejpam-3947	266	1	4k)y	CARDINAL
ejpam-3947	266	2	1	CARDINAL
ejpam-3947	267	1	philippines	GPE
ejpam-3947	267	2	baguio	GPE
ejpam-3947	269	1	478	CARDINAL
ejpam-3947	269	2	1	CARDINAL
ejpam-3947	270	1	two	CARDINAL
ejpam-3947	270	2	4x	CARDINAL
ejpam-3947	270	3	4x + 11y	DATE
ejpam-3947	271	1	sci	ORG
ejpam-3947	271	2	technol	PERSON
ejpam-3947	271	3	rmutt j.	PERSON
ejpam-3947	271	4	1:25–28, 2011	DATE
ejpam-3947	272	1	2	CARDINAL
ejpam-3947	272	2	acu	ORG
ejpam-3947	273	1	2x	CARDINAL
ejpam-3947	274	1	gen	PERSON
ejpam-3947	274	2	15:145–148	GPE
ejpam-3947	274	3	2007	DATE
ejpam-3947	275	1	3	CARDINAL
ejpam-3947	275	2	j f t rabago	PERSON
ejpam-3947	276	1	q. int	PERSON
ejpam-3947	277	1	j. pure	PERSON
ejpam-3947	277	2	104:517–521	CARDINAL
ejpam-3947	277	3	2015	DATE
ejpam-3947	278	1	4	CARDINAL
ejpam-3947	279	1	4)y	CARDINAL
ejpam-3947	279	2	+ 4	DATE
ejpam-3947	280	1	2	CARDINAL
ejpam-3947	280	2	3	DATE
ejpam-3947	280	3	4	CARDINAL
ejpam-3947	280	4	1:241–244	CARDINAL
ejpam-3947	280	5	2018	DATE
ejpam-3947	281	1	5	CARDINAL
ejpam-3947	281	2	burton	PERSON
ejpam-3947	282	1	allyn	PERSON
ejpam-3947	282	2	bacon, inc.	ORG
ejpam-3947	282	3	boston	GPE
ejpam-3947	282	4	1980	DATE
ejpam-3947	283	1	6	CARDINAL
ejpam-3947	284	1	20	CARDINAL
ejpam-3947	285	1	16:179–183	CARDINAL
ejpam-3947	285	2	2021	CARDINAL
ejpam-3947	288	1	computers &	ORG
ejpam-3947	288	2	18:97–103, 2012	DATE
ejpam-3947	289	1	8	CARDINAL
ejpam-3947	289	2	g leu	PERSON
ejpam-3947	289	3	g w li	PERSON
ejpam-3947	290	1	3n	CARDINAL
ejpam-3947	292	1	amer	PERSON
ejpam-3947	293	1	131:3643–3645, 2003	DATE
ejpam-3947	294	1	9	CARDINAL
ejpam-3947	296	1	xn−1 x−1 = yq	PERSON
ejpam-3947	297	1	norwegian	NORP
ejpam-3947	297	2	25:17–20, 1943	DATE
ejpam-3947	298	1	10	CARDINAL
ejpam-3947	298	2	g soydan	PERSON
ejpam-3947	299	1	2	CARDINAL
ejpam-3947	299	2	132:2604–2609,	DATE
ejpam-3947	299	3	2012	DATE
ejpam-3947	300	1	11	CARDINAL
ejpam-3947	300	2	j s mina	ORG
ejpam-3947	300	3	j b bacani	PERSON
ejpam-3947	302	1	7:78–81,	DATE
ejpam-3947	302	2	2019	DATE
ejpam-3947	303	1	12	CARDINAL
ejpam-3947	303	2	abu muriefah	PERSON
ejpam-3947	303	3	al-rashed	ORG
ejpam-3947	305	1	arab	NORP
ejpam-3947	305	2	18:97–103, 2012	DATE
ejpam-3947	306	1	13	CARDINAL
ejpam-3947	307	1	3	CARDINAL
ejpam-3947	307	2	+ 8	DATE
ejpam-3947	308	1	18:179–183	CARDINAL
ejpam-3947	308	2	2018	DATE
ejpam-3947	309	1	14	CARDINAL
ejpam-3947	310	1	two	CARDINAL
ejpam-3947	310	2	17x+19y	CARDINAL
ejpam-3947	311	1	j. interdisciplinary	PERSON
ejpam-3947	311	2	sci.	ORG
ejpam-3947	311	3	2:19–24	DATE
ejpam-3947	311	4	2013	DATE
ejpam-3947	312	1	15	CARDINAL
ejpam-3947	314	1	j. math	PERSON
ejpam-3947	315	1	sci.	ORG
ejpam-3947	315	2	comp	NORP
ejpam-3947	315	3	3:15–16, 2013	DATE
ejpam-3947	316	1	479	CARDINAL
ejpam-3947	317	1	16	CARDINAL
ejpam-3947	318	1	b. sroysang	PERSON
ejpam-3947	318	2	j. math	PERSON
ejpam-3947	318	3	1:30–32, 2013	DATE
ejpam-3947	319	1	17	CARDINAL
ejpam-3947	320	1	two	CARDINAL
ejpam-3947	320	2	3x	CARDINAL
ejpam-3947	320	3	3x + 91y	DATE
ejpam-3947	321	1	j. math	PERSON
ejpam-3947	322	1	sci.	ORG
ejpam-3947	322	2	comp	NORP
ejpam-3947	322	3	3:28–29, 2013	DATE
ejpam-3947	323	1	18	CARDINAL
ejpam-3947	323	2	k h rosen	ORG
ejpam-3947	325	1	pearson-addison wesley	ORG
ejpam-3947	325	2	new york	GPE
ejpam-3947	325	3	2005	DATE
ejpam-3947	326	1	19	CARDINAL
ejpam-3947	327	1	8x + 19y	DATE
ejpam-3947	329	1	j. pure	PERSON
ejpam-3947	330	1	81:601–604	CARDINAL
ejpam-3947	330	2	2012	DATE
ejpam-3947	331	1	20	CARDINAL
ejpam-3947	332	1	3x	CARDINAL
ejpam-3947	334	1	j. pure	PERSON
ejpam-3947	334	2	81:605–608	DATE
ejpam-3947	334	3	2012	DATE