id	sid	eid	entity	type
ejpam-6605	1	1	european journal	ORG
ejpam-6605	1	2	2025	DATE
ejpam-6605	1	3	18	CARDINAL
ejpam-6605	1	4	4	CARDINAL
ejpam-6605	1	5	6605	CARDINAL
ejpam-6605	1	6	1307-5543	DATE
ejpam-6605	1	7	new york	GPE
ejpam-6605	1	8	fermat	NORP
ejpam-6605	1	9	a. bani melhem1,∗	PERSON
ejpam-6605	1	10	al-kateeb1,∗	PERSON
ejpam-6605	1	11	yarmouk university	ORG
ejpam-6605	1	12	jordan	PERSON
ejpam-6605	2	1	fermat	NORP
ejpam-6605	4	1	2020	DATE
ejpam-6605	4	2	11b39	CARDINAL
ejpam-6605	4	3	11b83	CARDINAL
ejpam-6605	4	4	mersenne	PERSON
ejpam-6605	4	5	fermat	NORP
ejpam-6605	4	6	1	CARDINAL
ejpam-6605	4	7	lucas integer	PERSON
ejpam-6605	5	1	ln−1 + ln−2	ORG
ejpam-6605	5	2	n ≥ 2	ORG
ejpam-6605	5	3	1	CARDINAL
ejpam-6605	5	4	2	CARDINAL
ejpam-6605	5	5	1	CARDINAL
ejpam-6605	6	1	•	CARDINAL
ejpam-6605	6	2	pell-lucas	PERSON
ejpam-6605	6	3	2pn−1	CARDINAL
ejpam-6605	6	4	1	CARDINAL
ejpam-6605	6	5	1. •	CARDINAL
ejpam-6605	6	6	0	CARDINAL
ejpam-6605	6	7	1	CARDINAL
ejpam-6605	6	8	2	CARDINAL
ejpam-6605	8	1	a. bani melhem	PERSON
ejpam-6605	8	2	al-kateeb	PERSON
ejpam-6605	8	3	a. dagher	PERSON
ejpam-6605	9	1	1	CARDINAL
ejpam-6605	9	2	2025	CARDINAL
ejpam-6605	10	1	a. bani melhem	PERSON
ejpam-6605	10	2	al-kateeb	ORG
ejpam-6605	10	3	a. dagher	PERSON
ejpam-6605	11	1	j. pure	PERSON
ejpam-6605	11	2	18	CARDINAL
ejpam-6605	11	3	4	CARDINAL
ejpam-6605	11	4	2025	CARDINAL
ejpam-6605	11	5	6605 2	DATE
ejpam-6605	11	6	catalan	NORP
ejpam-6605	13	1	2n	CARDINAL
ejpam-6605	14	1	1	CARDINAL
ejpam-6605	14	2	3mn+1−2mn	CARDINAL
ejpam-6605	14	3	2,m0	CARDINAL
ejpam-6605	14	4	1	CARDINAL
ejpam-6605	15	1	fermat	NORP
ejpam-6605	15	2	22	CARDINAL
ejpam-6605	16	1	fermat	NORP
ejpam-6605	17	1	1	CARDINAL
ejpam-6605	18	1	2	CARDINAL
ejpam-6605	18	2	two	CARDINAL
ejpam-6605	19	1	fermat	NORP
ejpam-6605	19	2	1	CARDINAL
ejpam-6605	19	3	1	CARDINAL
ejpam-6605	19	4	mk,0	DATE
ejpam-6605	19	5	0,mk,1	CARDINAL
ejpam-6605	19	6	1	CARDINAL
ejpam-6605	19	7	fk,0	CARDINAL
ejpam-6605	19	8	2	CARDINAL
ejpam-6605	19	9	3	CARDINAL
ejpam-6605	19	10	1	CARDINAL
ejpam-6605	20	1	6	CARDINAL
ejpam-6605	21	1	2k−1mk	CARDINAL
ejpam-6605	22	1	fermat	ORG
ejpam-6605	22	2	7	CARDINAL
ejpam-6605	22	3	8	CARDINAL
ejpam-6605	23	1	fermat	NORP
ejpam-6605	24	1	section 2	LAW
ejpam-6605	24	2	fermat	NORP
ejpam-6605	24	3	section 3	LAW
ejpam-6605	24	4	section 4	LAW
ejpam-6605	24	5	fermat	NORP
ejpam-6605	24	6	two	CARDINAL
ejpam-6605	25	1	2	CARDINAL
ejpam-6605	25	2	1	CARDINAL
ejpam-6605	27	1	1−kx+(k−1)x2	CARDINAL
ejpam-6605	28	1	1−kx+(k−1)x2	CARDINAL
ejpam-6605	29	1	m(x	PERSON
ejpam-6605	29	2	m(x	PERSON
ejpam-6605	31	1	a. bani melhem	PERSON
ejpam-6605	31	2	al-kateeb	ORG
ejpam-6605	31	3	a. dagher	PERSON
ejpam-6605	32	1	j. pure	PERSON
ejpam-6605	32	2	18	CARDINAL
ejpam-6605	32	3	4	CARDINAL
ejpam-6605	32	4	2025	CARDINAL
ejpam-6605	32	5	6605 3	DATE
ejpam-6605	32	6	+ mk,1x	NORP
ejpam-6605	33	1	kmk	PERSON
ejpam-6605	33	2	1	CARDINAL
ejpam-6605	34	1	∞∑ n=0	PERSON
ejpam-6605	34	2	− k)x2	PERSON
ejpam-6605	34	3	n=0	DATE
ejpam-6605	34	4	1− kx−	CARDINAL
ejpam-6605	34	5	1− k)x2)m(x	TIME
ejpam-6605	36	1	1−kx+(k−1)x2	CARDINAL
ejpam-6605	39	1	n=0	PERSON
ejpam-6605	39	2	2 + 3x + ∞∑	DATE
ejpam-6605	39	3	1	CARDINAL
ejpam-6605	39	4	n−2)x	ORG
ejpam-6605	39	5	2 + 3x−	DATE
ejpam-6605	40	1	n=0	PERSON
ejpam-6605	41	1	n=0	PERSON
ejpam-6605	41	2	2 +	DATE
ejpam-6605	41	3	3	CARDINAL
ejpam-6605	41	4	1	CARDINAL
ejpam-6605	41	5	1	CARDINAL
ejpam-6605	41	6	1−kx+(k−1)x2	CARDINAL
ejpam-6605	42	1	2	CARDINAL
ejpam-6605	43	1	fermat	ORG
ejpam-6605	43	2	k −	ORG
ejpam-6605	43	3	2	CARDINAL
ejpam-6605	43	4	k −	ORG
ejpam-6605	43	5	5	CARDINAL
ejpam-6605	44	1	2	CARDINAL
ejpam-6605	45	1	6	CARDINAL
ejpam-6605	46	1	1	CARDINAL
ejpam-6605	47	1	1	CARDINAL
ejpam-6605	47	2	n + 2	PRODUCT
ejpam-6605	49	1	3	CARDINAL
ejpam-6605	50	1	a. bani melhem	PERSON
ejpam-6605	50	2	al-kateeb	ORG
ejpam-6605	50	3	a. dagher	PERSON
ejpam-6605	51	1	j. pure	PERSON
ejpam-6605	51	2	18	CARDINAL
ejpam-6605	51	3	4	CARDINAL
ejpam-6605	51	4	2025	CARDINAL
ejpam-6605	51	5	6605 4	DATE
ejpam-6605	51	6	n−rmk	GPE
ejpam-6605	52	1	n−rfk	ORG
ejpam-6605	52	2	2 k	QUANTITY
ejpam-6605	52	3	2k	CARDINAL
ejpam-6605	53	1	n−rmk	GPE
ejpam-6605	53	2	k −	ORG
ejpam-6605	54	1	k −	ORG
ejpam-6605	54	2	2	CARDINAL
ejpam-6605	54	3	2	CARDINAL
ejpam-6605	55	1	2(k	CARDINAL
ejpam-6605	56	1	+ 1	DATE
ejpam-6605	61	1	1)2r	CARDINAL
ejpam-6605	61	2	2(k	CARDINAL
ejpam-6605	61	3	1)r	CARDINAL
ejpam-6605	62	1	n−rfk	ORG
ejpam-6605	62	2	2 k	QUANTITY
ejpam-6605	63	1	5	CARDINAL
ejpam-6605	64	1	2	CARDINAL
ejpam-6605	66	1	5	CARDINAL
ejpam-6605	67	1	2	CARDINAL
ejpam-6605	67	2	k −	ORG
ejpam-6605	68	1	5	CARDINAL
ejpam-6605	68	2	2	CARDINAL
ejpam-6605	68	3	2	CARDINAL
ejpam-6605	68	4	2k	CARDINAL
ejpam-6605	69	1	2k + 5)(k	MONEY
ejpam-6605	70	1	2k + 5)2	MONEY
ejpam-6605	71	1	1)n +	DATE
ejpam-6605	71	2	2k	CARDINAL
ejpam-6605	71	3	5)2	CARDINAL
ejpam-6605	71	4	2k	CARDINAL
ejpam-6605	71	5	2k + 5)(k	MONEY
ejpam-6605	71	6	1)n+r	CARDINAL
ejpam-6605	72	1	2(2k	CARDINAL
ejpam-6605	72	2	2k	CARDINAL
ejpam-6605	73	1	1)2r	CARDINAL
ejpam-6605	73	2	2(k	CARDINAL
ejpam-6605	73	3	1)r	CARDINAL
ejpam-6605	73	4	2k	CARDINAL
ejpam-6605	74	1	4	DATE
ejpam-6605	74	2	d’ocagne	GPE
ejpam-6605	75	1	•	CARDINAL
ejpam-6605	75	2	k − 1)nmk,ℓ−n	ORG
ejpam-6605	75	3	2k)(k	ORDINAL
ejpam-6605	77	1	•	CARDINAL
ejpam-6605	77	2	k − 1)ℓ	ORG
ejpam-6605	80	1	k −	ORG
ejpam-6605	80	2	a. bani melhem	PERSON
ejpam-6605	80	3	al-kateeb	ORG
ejpam-6605	80	4	a. dagher	PERSON
ejpam-6605	81	1	j. pure	PERSON
ejpam-6605	81	2	18	CARDINAL
ejpam-6605	81	3	4	CARDINAL
ejpam-6605	81	4	2025	CARDINAL
ejpam-6605	81	5	6605 5	DATE
ejpam-6605	81	6	15	CARDINAL
ejpam-6605	81	7	k −	PERSON
ejpam-6605	83	1	k − 1)n	ORG
ejpam-6605	83	2	k − 1)ℓ(k	ORG
ejpam-6605	83	3	2	CARDINAL
ejpam-6605	86	1	2	CARDINAL
ejpam-6605	86	2	k − 1)n	ORG
ejpam-6605	86	3	k −	ORG
ejpam-6605	89	1	2	CARDINAL
ejpam-6605	89	2	k −	ORG
ejpam-6605	89	3	k −	ORG
ejpam-6605	89	4	5	CARDINAL
ejpam-6605	91	1	5	CARDINAL
ejpam-6605	93	1	5	CARDINAL
ejpam-6605	93	2	k −	ORG
ejpam-6605	94	1	5	CARDINAL
ejpam-6605	94	2	2	CARDINAL
ejpam-6605	94	3	2k	CARDINAL
ejpam-6605	96	1	2k	CARDINAL
ejpam-6605	96	2	5	CARDINAL
ejpam-6605	97	1	k − 1)n(k	ORG
ejpam-6605	97	2	2	CARDINAL
ejpam-6605	97	3	2k	CARDINAL
ejpam-6605	97	4	5	CARDINAL
ejpam-6605	97	5	k −	ORG
ejpam-6605	98	1	2	CARDINAL
ejpam-6605	98	2	2k	CARDINAL
ejpam-6605	99	1	2	CARDINAL
ejpam-6605	100	1	−(5	GPE
ejpam-6605	100	2	2k)(k	ORDINAL
ejpam-6605	100	3	1)nmk,ℓ−n	CARDINAL
ejpam-6605	101	1	5	CARDINAL
ejpam-6605	101	2	vajda	FAC
ejpam-6605	102	1	n+imk	ORG
ejpam-6605	102	2	n+i+j	CARDINAL
ejpam-6605	104	1	k − 1)nmk	PERSON
ejpam-6605	104	2	imk	ORG
ejpam-6605	104	3	j (ii	WORK_OF_ART
ejpam-6605	104	4	2	CARDINAL
ejpam-6605	104	5	n+jmk	PERSON
ejpam-6605	104	6	k − 1)nmk	PERSON
ejpam-6605	104	7	j proof	PERSON
ejpam-6605	105	1	n+imk	ORG
ejpam-6605	105	2	n+i+j	CARDINAL
ejpam-6605	107	1	k − 1)n+i	PERSON
ejpam-6605	110	1	2	CARDINAL
ejpam-6605	110	2	k −	ORG
ejpam-6605	112	1	k −	ORG
ejpam-6605	112	2	1)i	ORDINAL
ejpam-6605	114	1	k −	ORG
ejpam-6605	114	2	k −	ORG
ejpam-6605	114	3	1)i	ORDINAL
ejpam-6605	114	4	a. bani melhem	PERSON
ejpam-6605	114	5	al-kateeb	ORG
ejpam-6605	114	6	a. dagher	PERSON
ejpam-6605	115	1	j. pure	PERSON
ejpam-6605	115	2	18	CARDINAL
ejpam-6605	115	3	4	CARDINAL
ejpam-6605	115	4	2025	CARDINAL
ejpam-6605	115	5	6605 6	DATE
ejpam-6605	115	6	15	CARDINAL
ejpam-6605	115	7	k − 1)n	ORG
ejpam-6605	116	1	k − 1)nmk	PERSON
ejpam-6605	116	2	imk	ORG
ejpam-6605	116	3	j (ii	WORK_OF_ART
ejpam-6605	116	4	2	CARDINAL
ejpam-6605	116	5	n+imk	PERSON
ejpam-6605	116	6	k −	ORG
ejpam-6605	118	1	k −	ORG
ejpam-6605	118	2	1)m	CARDINAL
ejpam-6605	118	3	1	CARDINAL
ejpam-6605	118	4	2	CARDINAL
ejpam-6605	119	1	k −	ORG
ejpam-6605	121	1	k − 1)n	ORG
ejpam-6605	121	2	k −	ORG
ejpam-6605	122	1	k − 1)j((k	ORG
ejpam-6605	123	1	1)m−n−j	CARDINAL
ejpam-6605	123	2	k − 1)nmk	PERSON
ejpam-6605	123	3	m−n−jmk,j theorem 6	ORG
ejpam-6605	124	1	n ≥ 2	DATE
ejpam-6605	124	2	− n−	ORG
ejpam-6605	124	3	1	CARDINAL
ejpam-6605	124	4	1	CARDINAL
ejpam-6605	124	5	2 +	DATE
ejpam-6605	124	6	5	CARDINAL
ejpam-6605	125	1	1 k−2(mk	PERSON
ejpam-6605	125	2	5	CARDINAL
ejpam-6605	125	3	1	CARDINAL
ejpam-6605	125	4	1kmk,2(n+1	CARDINAL
ejpam-6605	125	5	1	CARDINAL
ejpam-6605	125	6	1	CARDINAL
ejpam-6605	126	1	1	CARDINAL
ejpam-6605	126	2	1k	CARDINAL
ejpam-6605	126	3	fk,2(n+1)−2)+(n+1)(2k−5	ORG
ejpam-6605	128	1	k −	ORG
ejpam-6605	128	2	1)i	ORDINAL
ejpam-6605	128	3	2	CARDINAL
ejpam-6605	128	4	1	CARDINAL
ejpam-6605	128	5	2	CARDINAL
ejpam-6605	128	6	1	CARDINAL
ejpam-6605	129	1	1)n+1 2	DATE
ejpam-6605	129	2	1	CARDINAL
ejpam-6605	129	3	2	CARDINAL
ejpam-6605	129	4	1	CARDINAL
ejpam-6605	129	5	k − 1)i +	ORG
ejpam-6605	129	6	2k	CARDINAL
ejpam-6605	130	1	2	CARDINAL
ejpam-6605	130	2	1	CARDINAL
ejpam-6605	130	3	2	CARDINAL
ejpam-6605	130	4	1	CARDINAL
ejpam-6605	130	5	1)n+1 2	DATE
ejpam-6605	130	6	− k	PERSON
ejpam-6605	131	1	5	CARDINAL
ejpam-6605	131	2	1	CARDINAL
ejpam-6605	131	3	2	CARDINAL
ejpam-6605	131	4	2 +	DATE
ejpam-6605	131	5	5	CARDINAL
ejpam-6605	133	1	1	CARDINAL
ejpam-6605	133	2	2	CARDINAL
ejpam-6605	133	3	5	CARDINAL
ejpam-6605	134	1	a. bani melhem	PERSON
ejpam-6605	134	2	al-kateeb	ORG
ejpam-6605	134	3	a. dagher	PERSON
ejpam-6605	135	1	j. pure	PERSON
ejpam-6605	135	2	18	CARDINAL
ejpam-6605	135	3	4	CARDINAL
ejpam-6605	135	4	2025	CARDINAL
ejpam-6605	135	5	6605 7	DATE
ejpam-6605	135	6	2	CARDINAL
ejpam-6605	135	7	1	CARDINAL
ejpam-6605	135	8	2	CARDINAL
ejpam-6605	135	9	1	CARDINAL
ejpam-6605	135	10	1)2)n+1 1	DATE
ejpam-6605	137	1	1	CARDINAL
ejpam-6605	137	2	2	CARDINAL
ejpam-6605	137	3	1	CARDINAL
ejpam-6605	140	1	1	CARDINAL
ejpam-6605	140	2	2	CARDINAL
ejpam-6605	140	3	1 k	QUANTITY
ejpam-6605	140	4	− n−	ORG
ejpam-6605	140	5	1	CARDINAL
ejpam-6605	141	1	n∑ i=0	ORG
ejpam-6605	141	2	2k	CARDINAL
ejpam-6605	141	3	2	CARDINAL
ejpam-6605	141	4	1	CARDINAL
ejpam-6605	141	5	2	CARDINAL
ejpam-6605	141	6	1	CARDINAL
ejpam-6605	141	7	1)2)n+1 1	DATE
ejpam-6605	141	8	5	CARDINAL
ejpam-6605	141	9	1	CARDINAL
ejpam-6605	141	10	2	CARDINAL
ejpam-6605	141	11	1	CARDINAL
ejpam-6605	142	1	5	CARDINAL
ejpam-6605	143	1	1	CARDINAL
ejpam-6605	143	2	2	CARDINAL
ejpam-6605	144	1	5	CARDINAL
ejpam-6605	145	1	1	CARDINAL
ejpam-6605	145	2	2	CARDINAL
ejpam-6605	145	3	2	CARDINAL
ejpam-6605	145	4	5	CARDINAL
ejpam-6605	146	1	1	CARDINAL
ejpam-6605	148	1	1	CARDINAL
ejpam-6605	150	1	k−2	ORG
ejpam-6605	150	2	k−1)n	GPE
ejpam-6605	152	1	1	CARDINAL
ejpam-6605	152	2	2	CARDINAL
ejpam-6605	153	1	n=0 1 mk	PERSON
ejpam-6605	155	1	1	CARDINAL
ejpam-6605	155	2	1	CARDINAL
ejpam-6605	155	3	3	CARDINAL
ejpam-6605	157	1	k k−1	PERSON
ejpam-6605	159	1	n kn	PERSON
ejpam-6605	160	1	1	CARDINAL
ejpam-6605	160	2	n kn	PERSON
ejpam-6605	160	3	a. bani melhem	PERSON
ejpam-6605	160	4	al-kateeb	ORG
ejpam-6605	160	5	a. dagher	PERSON
ejpam-6605	161	1	j. pure	PERSON
ejpam-6605	161	2	18	CARDINAL
ejpam-6605	161	3	4	CARDINAL
ejpam-6605	161	4	2025	CARDINAL
ejpam-6605	161	5	6605 8	DATE
ejpam-6605	161	6	15	CARDINAL
ejpam-6605	161	7	1	CARDINAL
ejpam-6605	161	8	1	CARDINAL
ejpam-6605	161	9	1	CARDINAL
ejpam-6605	161	10	n kn +	PERSON
ejpam-6605	161	11	1	CARDINAL
ejpam-6605	161	12	kn−1	ORG
ejpam-6605	162	1	1	CARDINAL
ejpam-6605	162	2	1	CARDINAL
ejpam-6605	163	1	k k−1	PERSON
ejpam-6605	165	1	16	CARDINAL
ejpam-6605	165	2	section 3.3	LAW
ejpam-6605	165	3	9	CARDINAL
ejpam-6605	166	1	2	CARDINAL
ejpam-6605	167	1	three	CARDINAL
ejpam-6605	168	1	gcd(a	GPE
ejpam-6605	168	2	1	CARDINAL
ejpam-6605	168	3	gcd(a	GPE
ejpam-6605	168	4	bc	ORG
ejpam-6605	168	5	1	CARDINAL
ejpam-6605	168	6	7	CARDINAL
ejpam-6605	168	7	n ≥ 1	DATE
ejpam-6605	169	1	1	CARDINAL
ejpam-6605	169	2	1 (ii	CARDINAL
ejpam-6605	169	3	1	CARDINAL
ejpam-6605	169	4	1	CARDINAL
ejpam-6605	169	5	gcd(fk	PERSON
ejpam-6605	170	1	1	CARDINAL
ejpam-6605	170	2	1	CARDINAL
ejpam-6605	170	3	gcd(fk	PERSON
ejpam-6605	170	4	gcd(fk	PERSON
ejpam-6605	170	5	1	CARDINAL
ejpam-6605	172	1	first	ORDINAL
ejpam-6605	172	2	gcd(mk,1	ORG
ejpam-6605	172	3	k − 1	PERSON
ejpam-6605	172	4	1	CARDINAL
ejpam-6605	172	5	1	CARDINAL
ejpam-6605	172	6	1	CARDINAL
ejpam-6605	173	1	= gcd(kmk	PERSON
ejpam-6605	173	2	1−k)mk	CARDINAL
ejpam-6605	173	3	k−1	GPE
ejpam-6605	173	4	= gcd(kmk	PERSON
ejpam-6605	173	5	n, k−1	GPE
ejpam-6605	173	6	n, k−1	GPE
ejpam-6605	173	7	1	CARDINAL
ejpam-6605	173	8	a. bani melhem	PERSON
ejpam-6605	173	9	al-kateeb	ORG
ejpam-6605	173	10	a. dagher	PERSON
ejpam-6605	174	1	j. pure	PERSON
ejpam-6605	174	2	18	CARDINAL
ejpam-6605	174	3	4	CARDINAL
ejpam-6605	174	4	2025	CARDINAL
ejpam-6605	174	5	6605 9	DATE
ejpam-6605	176	1	first	ORDINAL
ejpam-6605	176	2	gcd(mk,1	ORG
ejpam-6605	176	3	1	CARDINAL
ejpam-6605	176	4	gcd(mk,2	ORG
ejpam-6605	176	5	2	CARDINAL
ejpam-6605	177	1	1	CARDINAL
ejpam-6605	177	2	= gcd(kmk	PERSON
ejpam-6605	179	1	1	CARDINAL
ejpam-6605	179	2	1	CARDINAL
ejpam-6605	179	3	1	CARDINAL
ejpam-6605	179	4	1	CARDINAL
ejpam-6605	179	5	n + 1	LOC
ejpam-6605	180	1	1	CARDINAL
ejpam-6605	183	1	− kmk	PERSON
ejpam-6605	184	1	1	CARDINAL
ejpam-6605	184	2	d|(gcd(mk	ORG
ejpam-6605	184	3	1	CARDINAL
ejpam-6605	185	1	2	CARDINAL
ejpam-6605	185	2	1	CARDINAL
ejpam-6605	185	3	1	CARDINAL
ejpam-6605	185	4	1	CARDINAL
ejpam-6605	185	5	1	CARDINAL
ejpam-6605	185	6	1	CARDINAL
ejpam-6605	186	1	2	CARDINAL
ejpam-6605	187	1	3	CARDINAL
ejpam-6605	188	1	4	CARDINAL
ejpam-6605	189	1	1	CARDINAL
ejpam-6605	190	1	n + 2	PRODUCT
ejpam-6605	190	2	1	CARDINAL
ejpam-6605	190	3	n ≡ n mod 2	ORG
ejpam-6605	191	1	1	CARDINAL
ejpam-6605	192	1	a. bani melhem	PERSON
ejpam-6605	192	2	al-kateeb	ORG
ejpam-6605	192	3	a. dagher	PERSON
ejpam-6605	193	1	j. pure	PERSON
ejpam-6605	193	2	18	CARDINAL
ejpam-6605	193	3	4	CARDINAL
ejpam-6605	193	4	2025	CARDINAL
ejpam-6605	193	5	6605 10 of 15 3	DATE
ejpam-6605	193	6	8	CARDINAL
ejpam-6605	194	1	qk	ORG
ejpam-6605	195	1	0	CARDINAL
ejpam-6605	195	2	− k	PERSON
ejpam-6605	197	1	n ≥ 2	DATE
ejpam-6605	197	2	qn k	PERSON
ejpam-6605	198	1	1	CARDINAL
ejpam-6605	199	1	•	CARDINAL
ejpam-6605	199	2	2	CARDINAL
ejpam-6605	200	1	1	CARDINAL
ejpam-6605	200	2	− k k k(1 − k	PERSON
ejpam-6605	200	3	1	CARDINAL
ejpam-6605	202	1	1	CARDINAL
ejpam-6605	202	2	− k)mk,1 mk,2	PERSON
ejpam-6605	202	3	1	CARDINAL
ejpam-6605	202	4	•	CARDINAL
ejpam-6605	203	1	0	CARDINAL
ejpam-6605	205	1	1	CARDINAL
ejpam-6605	205	2	1	CARDINAL
ejpam-6605	205	3	1	CARDINAL
ejpam-6605	206	1	5	CARDINAL
ejpam-6605	207	1	2	CARDINAL
ejpam-6605	207	2	n+m	DATE
ejpam-6605	207	3	1	CARDINAL
ejpam-6605	208	1	1	CARDINAL
ejpam-6605	208	2	m+1	PRODUCT
ejpam-6605	210	1	1	CARDINAL
ejpam-6605	210	2	1	CARDINAL
ejpam-6605	210	3	k)m2 k	PERSON
ejpam-6605	210	4	n + m2 k	QUANTITY
ejpam-6605	211	1	qn+m k	PERSON
ejpam-6605	213	1	1	CARDINAL
ejpam-6605	213	2	n+m	DATE
ejpam-6605	213	3	1	CARDINAL
ejpam-6605	213	4	n+m	DATE
ejpam-6605	213	5	1	CARDINAL
ejpam-6605	213	6	1	CARDINAL
ejpam-6605	213	7	m−1 mk	PERSON
ejpam-6605	213	8	1	CARDINAL
ejpam-6605	213	9	1	CARDINAL
ejpam-6605	213	10	2	CARDINAL
ejpam-6605	214	1	3	CARDINAL
ejpam-6605	214	2	4	CARDINAL
ejpam-6605	214	3	1	CARDINAL
ejpam-6605	214	4	2	CARDINAL
ejpam-6605	215	1	6	CARDINAL
ejpam-6605	215	2	fermat	NORP
ejpam-6605	216	1	2	CARDINAL
ejpam-6605	217	1	qn krk	PERSON
ejpam-6605	218	1	n fk	ORG
ejpam-6605	220	1	a. bani melhem	PERSON
ejpam-6605	220	2	al-kateeb	ORG
ejpam-6605	220	3	a. dagher	PERSON
ejpam-6605	221	1	j. pure	PERSON
ejpam-6605	221	2	18	CARDINAL
ejpam-6605	221	3	4	CARDINAL
ejpam-6605	221	4	2025	CARDINAL
ejpam-6605	221	5	6605 11	DATE
ejpam-6605	221	6	15 4	DATE
ejpam-6605	221	7	first	ORDINAL
ejpam-6605	223	1	7	CARDINAL
ejpam-6605	225	1	k k	PERSON
ejpam-6605	226	1	1	CARDINAL
ejpam-6605	229	1	− k	PERSON
ejpam-6605	231	1	− k	PERSON
ejpam-6605	234	1	0 1 0	DATE
ejpam-6605	235	1	− k 0	PERSON
ejpam-6605	236	1	− k	PERSON
ejpam-6605	238	1	− k	PERSON
ejpam-6605	242	1	section 2.1	LAW
ejpam-6605	242	2	2.2	CARDINAL
ejpam-6605	242	3	3	CARDINAL
ejpam-6605	242	4	8	CARDINAL
ejpam-6605	247	1	1	CARDINAL
ejpam-6605	249	1	1	CARDINAL
ejpam-6605	251	1	1	CARDINAL
ejpam-6605	254	1	1	CARDINAL
ejpam-6605	254	2	1	CARDINAL
ejpam-6605	255	1	tasci	ORG
ejpam-6605	255	2	10	CARDINAL
ejpam-6605	256	1	1-3	CARDINAL
ejpam-6605	256	2	10	CARDINAL
ejpam-6605	257	1	9	CARDINAL
ejpam-6605	260	1	k 1 − k 0	PERSON
ejpam-6605	261	1	0 1 k 1 − k 0	QUANTITY
ejpam-6605	261	2	0	CARDINAL
ejpam-6605	261	3	1	CARDINAL
ejpam-6605	262	1	a. bani melhem	PERSON
ejpam-6605	262	2	al-kateeb	ORG
ejpam-6605	262	3	a. dagher	PERSON
ejpam-6605	263	1	j. pure	PERSON
ejpam-6605	263	2	18	CARDINAL
ejpam-6605	263	3	4	CARDINAL
ejpam-6605	263	4	2025	CARDINAL
ejpam-6605	263	5	6605 12	DATE
ejpam-6605	265	1	k 1 − k 0	PERSON
ejpam-6605	267	1	0	CARDINAL
ejpam-6605	267	2	0	CARDINAL
ejpam-6605	269	1	1 1 1	DATE
ejpam-6605	271	1	1 −1	QUANTITY
ejpam-6605	273	1	0	CARDINAL
ejpam-6605	278	1	1	CARDINAL
ejpam-6605	278	2	1	CARDINAL
ejpam-6605	278	3	1	CARDINAL
ejpam-6605	278	4	1	CARDINAL
ejpam-6605	278	5	10	CARDINAL
ejpam-6605	279	1	2	CARDINAL
ejpam-6605	279	2	2	CARDINAL
ejpam-6605	279	3	10	CARDINAL
ejpam-6605	280	1	3	CARDINAL
ejpam-6605	280	2	3	CARDINAL
ejpam-6605	280	3	10	CARDINAL
ejpam-6605	281	1	5	CARDINAL
ejpam-6605	282	1	two	CARDINAL
ejpam-6605	282	2	section 3	LAW
ejpam-6605	282	3	5.1	CARDINAL
ejpam-6605	284	1	first	ORDINAL
ejpam-6605	284	2	alice	PERSON
ejpam-6605	284	3	two	CARDINAL
ejpam-6605	285	1	2	CARDINAL
ejpam-6605	285	2	alice	PERSON
ejpam-6605	285	3	two	CARDINAL
ejpam-6605	285	4	k	PERSON
ejpam-6605	286	1	k mod n	PERSON
ejpam-6605	286	2	k mod n. alice	PERSON
ejpam-6605	286	3	1	CARDINAL
ejpam-6605	287	1	alice	PERSON
ejpam-6605	287	2	two	CARDINAL
ejpam-6605	288	1	qm1 k	PERSON
ejpam-6605	292	1	2	CARDINAL
ejpam-6605	293	1	bob	PERSON
ejpam-6605	293	2	two	CARDINAL
ejpam-6605	293	3	0	CARDINAL
ejpam-6605	293	4	1	CARDINAL
ejpam-6605	293	5	alice	PERSON
ejpam-6605	294	1	alice	PERSON
ejpam-6605	295	1	v1dv2	PERSON
ejpam-6605	295	2	alice	PERSON
ejpam-6605	295	3	one	CARDINAL
ejpam-6605	297	1	2	CARDINAL
ejpam-6605	298	1	a. bani melhem	PERSON
ejpam-6605	298	2	al-kateeb	ORG
ejpam-6605	298	3	a. dagher	PERSON
ejpam-6605	299	1	j. pure	PERSON
ejpam-6605	299	2	18	CARDINAL
ejpam-6605	299	3	4	CARDINAL
ejpam-6605	299	4	2025	CARDINAL
ejpam-6605	299	5	6605 13	DATE
ejpam-6605	299	6	15	CARDINAL
ejpam-6605	300	1	11	CARDINAL
ejpam-6605	300	2	13	CARDINAL
ejpam-6605	300	3	143	CARDINAL
ejpam-6605	301	1	5	CARDINAL
ejpam-6605	302	1	alice	PERSON
ejpam-6605	302	2	2	CARDINAL
ejpam-6605	303	1	3	CARDINAL
ejpam-6605	303	2	139	CARDINAL
ejpam-6605	304	1	123	CARDINAL
ejpam-6605	304	2	59 85	CARDINAL
ejpam-6605	306	1	59	CARDINAL
ejpam-6605	306	2	66	CARDINAL
ejpam-6605	306	3	alice	PERSON
ejpam-6605	306	4	two	CARDINAL
ejpam-6605	307	1	3,m2	CARDINAL
ejpam-6605	307	2	4	CARDINAL
ejpam-6605	310	1	5	CARDINAL
ejpam-6605	311	1	123	CARDINAL
ejpam-6605	311	2	59 85	CARDINAL
ejpam-6605	312	1	5	CARDINAL
ejpam-6605	313	1	59	CARDINAL
ejpam-6605	313	2	1	CARDINAL
ejpam-6605	313	3	66	CARDINAL
ejpam-6605	314	1	2	CARDINAL
ejpam-6605	315	1	35	CARDINAL
ejpam-6605	316	1	bob	PERSON
ejpam-6605	316	2	two	CARDINAL
ejpam-6605	316	3	1	CARDINAL
ejpam-6605	316	4	alice	PERSON
ejpam-6605	317	1	alice	PERSON
ejpam-6605	320	1	111	CARDINAL
ejpam-6605	320	2	11 133	CARDINAL
ejpam-6605	323	1	100	CARDINAL
ejpam-6605	323	2	110 34	CARDINAL
ejpam-6605	323	3	alice	PERSON
ejpam-6605	323	4	one	CARDINAL
ejpam-6605	324	1	2	CARDINAL
ejpam-6605	325	1	d.	NORP
ejpam-6605	326	1	5.2	CARDINAL
ejpam-6605	327	1	first	ORDINAL
ejpam-6605	327	2	bob	PERSON
ejpam-6605	327	3	integer n	PRODUCT
ejpam-6605	327	4	2	CARDINAL
ejpam-6605	328	1	2	CARDINAL
ejpam-6605	328	2	2	CARDINAL
ejpam-6605	329	1	0	CARDINAL
ejpam-6605	331	1	qn1 k mod n	ORG
ejpam-6605	331	2	x1 = atb mod n	PERSON
ejpam-6605	332	1	bob	PERSON
ejpam-6605	332	2	0	CARDINAL
ejpam-6605	332	3	k mod n	PERSON
ejpam-6605	332	4	asc mod n	PERSON
ejpam-6605	332	5	alice	PERSON
ejpam-6605	333	1	alice	PERSON
ejpam-6605	334	1	mod n.	PERSON
ejpam-6605	334	2	a. bani melhem	PERSON
ejpam-6605	334	3	al-kateeb	ORG
ejpam-6605	334	4	a. dagher	PERSON
ejpam-6605	335	1	j. pure	PERSON
ejpam-6605	335	2	18	CARDINAL
ejpam-6605	335	3	4	CARDINAL
ejpam-6605	335	4	2025	CARDINAL
ejpam-6605	335	5	6605 14	DATE
ejpam-6605	335	6	bob	PERSON
ejpam-6605	335	7	kb	ORG
ejpam-6605	338	1	2	CARDINAL
ejpam-6605	338	2	4	CARDINAL
ejpam-6605	338	3	1 2	CARDINAL
ejpam-6605	339	1	3	CARDINAL
ejpam-6605	339	2	q3 k	PERSON
ejpam-6605	340	1	131	CARDINAL
ejpam-6605	340	2	x1 = atb	PERSON
ejpam-6605	341	1	24	CARDINAL
ejpam-6605	343	1	bob	PERSON
ejpam-6605	343	2	q5 k mod	PERSON
ejpam-6605	346	1	23 121	CARDINAL
ejpam-6605	346	2	66 78	QUANTITY
ejpam-6605	347	1	130	CARDINAL
ejpam-6605	348	1	alice	PERSON
ejpam-6605	349	1	alice	PERSON
ejpam-6605	351	1	1 112	CARDINAL
ejpam-6605	352	1	bob	PERSON
ejpam-6605	352	2	kb	ORG
ejpam-6605	353	1	1 112	CARDINAL
ejpam-6605	353	2	6	CARDINAL
ejpam-6605	353	3	fermat	ORG
ejpam-6605	355	1	the yarmouk university research council	ORG
ejpam-6605	357	1	quarterly	DATE
ejpam-6605	357	2	1(4):65–71	CARDINAL
ejpam-6605	357	3	1963	DATE
ejpam-6605	358	1	2	CARDINAL
ejpam-6605	358	2	marcia edson	PERSON
ejpam-6605	358	3	omer yayenie	PERSON
ejpam-6605	360	1	2009	DATE
ejpam-6605	361	1	3	CARDINAL
ejpam-6605	361	2	ángel plaza	LOC
ejpam-6605	363	1	32(5):1615–1624	CARDINAL
ejpam-6605	363	2	2007	DATE
ejpam-6605	364	1	4	CARDINAL
ejpam-6605	364	2	henry w gould	PERSON
ejpam-6605	366	1	quarterly	DATE
ejpam-6605	366	2	19(3):250–257, 1981	DATE
ejpam-6605	367	1	a. bani melhem	PERSON
ejpam-6605	367	2	al-kateeb	ORG
ejpam-6605	367	3	a. dagher	PERSON
ejpam-6605	368	1	j. pure	PERSON
ejpam-6605	368	2	18	CARDINAL
ejpam-6605	368	3	4	CARDINAL
ejpam-6605	368	4	2025	CARDINAL
ejpam-6605	368	5	6605 15	DATE
ejpam-6605	368	6	5	CARDINAL
ejpam-6605	369	1	fibonacci	ORG
ejpam-6605	369	2	houghton-mifflin	GPE
ejpam-6605	370	1	palo alto	GPE
ejpam-6605	370	2	california	GPE
ejpam-6605	370	3	1969	DATE
ejpam-6605	371	1	6	CARDINAL
ejpam-6605	371	2	andrzej w loch	PERSON
ejpam-6605	373	1	mariae curie-sk lodowska	PERSON
ejpam-6605	373	2	2018	DATE
ejpam-6605	374	1	peter	PERSON
ejpam-6605	374	2	yaotsu chang	PERSON
ejpam-6605	375	1	fermat	ORG
ejpam-6605	375	2	leetsch c. hsu	PERSON
ejpam-6605	376	1	25(2):335–352	CARDINAL
ejpam-6605	376	2	2022	CARDINAL
ejpam-6605	377	1	8	CARDINAL
ejpam-6605	378	1	fermat	ORG
ejpam-6605	379	1	21(7-8):1573–1580	CARDINAL
ejpam-6605	379	2	2018	DATE
ejpam-6605	380	1	9	CARDINAL
ejpam-6605	380	2	kenneth h rosen	PERSON
ejpam-6605	382	1	pearson	PERSON
ejpam-6605	382	2	london	GPE
ejpam-6605	382	3	2011	DATE
ejpam-6605	383	1	10	CARDINAL
ejpam-6605	384	1	second	ORDINAL
ejpam-6605	385	1	the rocky mountain journal of mathematics	ORG
ejpam-6605	385	2	531–544, 2008	DATE
ejpam-6605	386	1	11	CARDINAL
ejpam-6605	386	2	dursun tasci	PERSON
ejpam-6605	387	1	second	ORDINAL
ejpam-6605	388	1	91:11–18, 2009	DATE