id	sid	eid	entity	type
ejpam-4961	1	1	european journal	ORG
ejpam-4961	2	1	17	CARDINAL
ejpam-4961	2	2	2	CARDINAL
ejpam-4961	2	3	2024	DATE
ejpam-4961	2	4	1146-1154	CARDINAL
ejpam-4961	2	5	new york	GPE
ejpam-4961	2	6	m. m. m. jaradat3,∗	PERSON
ejpam-4961	2	7	e. yolacan4	PERSON
ejpam-4961	3	1	1	CARDINAL
ejpam-4961	3	2	awantipora	GPE
ejpam-4961	3	3	india	GPE
ejpam-4961	3	4	192122	DATE
ejpam-4961	3	5	2	CARDINAL
ejpam-4961	3	6	svkm	PERSON
ejpam-4961	3	7	india	GPE
ejpam-4961	3	8	3	CARDINAL
ejpam-4961	3	9	qatar university	ORG
ejpam-4961	3	10	2723	CARDINAL
ejpam-4961	3	11	doha	GPE
ejpam-4961	3	12	qatar	GPE
ejpam-4961	3	13	4	CARDINAL
ejpam-4961	3	14	cappadocia university	ORG
ejpam-4961	3	15	mustafapasa	ORG
ejpam-4961	3	16	turkey 5	DATE
ejpam-4961	3	17	east university	ORG
ejpam-4961	3	18	east boulevard	LOC
ejpam-4961	3	19	99138	DATE
ejpam-4961	3	20	nicosia/mersin 10	EVENT
ejpam-4961	3	21	turkey	GPE
ejpam-4961	6	1	2	CARDINAL
ejpam-4961	6	2	3	CARDINAL
ejpam-4961	6	3	4	CARDINAL
ejpam-4961	6	4	one	CARDINAL
ejpam-4961	8	1	2020	DATE
ejpam-4961	8	2	11y16	CARDINAL
ejpam-4961	8	3	11y11,11y40	CARDINAL
ejpam-4961	8	4	1	CARDINAL
ejpam-4961	9	1	greek	NORP
ejpam-4961	9	2	first	ORDINAL
ejpam-4961	10	1	around 300	CARDINAL
ejpam-4961	10	2	bc	ORG
ejpam-4961	11	1	one	CARDINAL
ejpam-4961	11	2	π(n	WORK_OF_ART
ejpam-4961	12	1	legendre	PERSON
ejpam-4961	12	2	lehmer	ORG
ejpam-4961	13	1	mmjst4@qu.edu.qa	PERSON
ejpam-4961	13	2	m. m. m. jaradat	PERSON
ejpam-4961	13	3	e. yolacan	PERSON
ejpam-4961	13	4	h. ahmad	PERSON
ejpam-4961	14	1	2024	CARDINAL
ejpam-4961	15	1	m. m. m. jaradat et	PERSON
ejpam-4961	16	1	j. pure	PERSON
ejpam-4961	16	2	17	CARDINAL
ejpam-4961	16	3	2	CARDINAL
ejpam-4961	16	4	2024	CARDINAL
ejpam-4961	16	5	1146-1154 1147	CARDINAL
ejpam-4961	18	1	1–7	CARDINAL
ejpam-4961	18	2	9–12	CARDINAL
ejpam-4961	21	1	2	CARDINAL
ejpam-4961	22	1	conway et al	PERSON
ejpam-4961	23	1	8	CARDINAL
ejpam-4961	26	1	1	CARDINAL
ejpam-4961	28	1	1	CARDINAL
ejpam-4961	30	1	2	CARDINAL
ejpam-4961	32	1	1 3∑	CARDINAL
ejpam-4961	35	1	3	CARDINAL
ejpam-4961	37	1	noel	PERSON
ejpam-4961	37	2	wilson	PERSON
ejpam-4961	37	3	first	ORDINAL
ejpam-4961	37	4	2006	DATE
ejpam-4961	40	1	2	CARDINAL
ejpam-4961	41	1	1. π(n	CARDINAL
ejpam-4961	43	1	4	CARDINAL
ejpam-4961	43	2	3	CARDINAL
ejpam-4961	44	1	m. m. m. jaradat et	PERSON
ejpam-4961	45	1	j. pure	PERSON
ejpam-4961	45	2	17	CARDINAL
ejpam-4961	45	3	2	CARDINAL
ejpam-4961	45	4	2024	CARDINAL
ejpam-4961	45	5	1146-1154 1148	CARDINAL
ejpam-4961	45	6	4	CARDINAL
ejpam-4961	46	1	2	CARDINAL
ejpam-4961	46	2	3	CARDINAL
ejpam-4961	46	3	4	CARDINAL
ejpam-4961	46	4	3	CARDINAL
ejpam-4961	48	1	kalmost prime	ORG
ejpam-4961	49	1	first	ORDINAL
ejpam-4961	50	1	3	CARDINAL
ejpam-4961	51	1	100	CARDINAL
ejpam-4961	51	2	100	CARDINAL
ejpam-4961	51	3	100 1 3	DATE
ejpam-4961	51	4	3	CARDINAL
ejpam-4961	51	5	3	CARDINAL
ejpam-4961	52	1	100	CARDINAL
ejpam-4961	52	2	3	CARDINAL
ejpam-4961	52	3	4	CARDINAL
ejpam-4961	54	1	2	CARDINAL
ejpam-4961	57	1	1	CARDINAL
ejpam-4961	59	1	1	CARDINAL
ejpam-4961	59	2	2	DATE
ejpam-4961	59	3	5	CARDINAL
ejpam-4961	61	1	5	CARDINAL
ejpam-4961	61	2	two	CARDINAL
ejpam-4961	62	1	5	CARDINAL
ejpam-4961	65	1	3	CARDINAL
ejpam-4961	65	2	3	CARDINAL
ejpam-4961	65	3	5	DATE
ejpam-4961	65	4	7	DATE
ejpam-4961	66	1	3	CARDINAL
ejpam-4961	67	1	5	CARDINAL
ejpam-4961	67	2	3	CARDINAL
ejpam-4961	67	3	5	DATE
ejpam-4961	67	4	7	DATE
ejpam-4961	68	1	one	CARDINAL
ejpam-4961	68	2	5	CARDINAL
ejpam-4961	69	1	n pi+1	NORP
ejpam-4961	70	1	m. m. m. jaradat et	PERSON
ejpam-4961	71	1	j. pure	PERSON
ejpam-4961	71	2	17	CARDINAL
ejpam-4961	71	3	2	CARDINAL
ejpam-4961	71	4	2024	CARDINAL
ejpam-4961	71	5	1146-1154 1149	CARDINAL
ejpam-4961	71	6	5	CARDINAL
ejpam-4961	73	1	6	CARDINAL
ejpam-4961	73	2	second	ORDINAL
ejpam-4961	74	1	1	CARDINAL
ejpam-4961	79	1	i=1 π	PERSON
ejpam-4961	80	1	i=1 i+	PERSON
ejpam-4961	80	2	1	CARDINAL
ejpam-4961	80	3	i=1 π	PERSON
ejpam-4961	81	1	1	CARDINAL
ejpam-4961	82	1	4	CARDINAL
ejpam-4961	83	1	1	CARDINAL
ejpam-4961	87	1	1	CARDINAL
ejpam-4961	87	2	2	CARDINAL
ejpam-4961	88	1	+ 1]− t(t+ 1) 2	MONEY
ejpam-4961	88	2	4	CARDINAL
ejpam-4961	91	1	1)−	CARDINAL
ejpam-4961	91	2	1	CARDINAL
ejpam-4961	91	3	2	CARDINAL
ejpam-4961	91	4	t+1∑	ORG
ejpam-4961	93	1	1)(2−	CARDINAL
ejpam-4961	93	2	2	CARDINAL
ejpam-4961	93	3	7	CARDINAL
ejpam-4961	93	4	7	CARDINAL
ejpam-4961	93	5	6	CARDINAL
ejpam-4961	96	1	1)(2−	CARDINAL
ejpam-4961	96	2	2	CARDINAL
ejpam-4961	98	1	1)(2−	CARDINAL
ejpam-4961	98	2	2	CARDINAL
ejpam-4961	98	3	m. m. m. jaradat et	PERSON
ejpam-4961	99	1	j. pure	PERSON
ejpam-4961	99	2	17	CARDINAL
ejpam-4961	99	3	2	CARDINAL
ejpam-4961	99	4	2024	CARDINAL
ejpam-4961	99	5	1146-1154 1150	CARDINAL
ejpam-4961	101	1	1)(2−	CARDINAL
ejpam-4961	101	2	2	CARDINAL
ejpam-4961	101	3	4	CARDINAL
ejpam-4961	102	1	1)(2−	CARDINAL
ejpam-4961	102	2	2	CARDINAL
ejpam-4961	102	3	1	CARDINAL
ejpam-4961	102	4	2	CARDINAL
ejpam-4961	102	5	1	CARDINAL
ejpam-4961	102	6	2	CARDINAL
ejpam-4961	102	7	1	CARDINAL
ejpam-4961	102	8	2	CARDINAL
ejpam-4961	104	1	5	CARDINAL
ejpam-4961	104	2	1	CARDINAL
ejpam-4961	104	3	two	CARDINAL
ejpam-4961	104	4	first	ORDINAL
ejpam-4961	104	5	5	CARDINAL
ejpam-4961	104	6	second	ORDINAL
ejpam-4961	104	7	1	CARDINAL
ejpam-4961	104	8	5	CARDINAL
ejpam-4961	107	1	1	CARDINAL
ejpam-4961	107	2	100	CARDINAL
ejpam-4961	109	1	1	CARDINAL
ejpam-4961	109	2	2	CARDINAL
ejpam-4961	110	1	100	CARDINAL
ejpam-4961	110	2	1 2	CARDINAL
ejpam-4961	111	1	3	CARDINAL
ejpam-4961	112	1	π(1003	TIME
ejpam-4961	112	2	10	CARDINAL
ejpam-4961	113	1	π(1005	PERSON
ejpam-4961	114	1	7	CARDINAL
ejpam-4961	115	1	π(1007	DATE
ejpam-4961	115	2	5	CARDINAL
ejpam-4961	116	1	10 + 7	DATE
ejpam-4961	117	1	19	CARDINAL
ejpam-4961	117	2	2	CARDINAL
ejpam-4961	117	3	200	CARDINAL
ejpam-4961	119	1	1	CARDINAL
ejpam-4961	119	2	2	CARDINAL
ejpam-4961	119	3	m. m. m. jaradat et al	PERSON
ejpam-4961	120	1	j. pure	PERSON
ejpam-4961	120	2	17	CARDINAL
ejpam-4961	120	3	2	CARDINAL
ejpam-4961	120	4	2024	CARDINAL
ejpam-4961	120	5	1146-1154 1151	CARDINAL
ejpam-4961	120	6	200	CARDINAL
ejpam-4961	120	7	1 2	CARDINAL
ejpam-4961	120	8	5	CARDINAL
ejpam-4961	121	1	5∑	CARDINAL
ejpam-4961	121	2	i=1 π	ORG
ejpam-4961	121	3	200	CARDINAL
ejpam-4961	121	4	10	CARDINAL
ejpam-4961	121	5	200 3	CARDINAL
ejpam-4961	121	6	200 5	CARDINAL
ejpam-4961	121	7	200 7	DATE
ejpam-4961	121	8	200 11	CARDINAL
ejpam-4961	122	1	200 13	CARDINAL
ejpam-4961	122	2	10	CARDINAL
ejpam-4961	122	3	17 + 11 + 8 + 6 + 5− 10	DATE
ejpam-4961	122	4	37	CARDINAL
ejpam-4961	122	5	3-almost	QUANTITY
ejpam-4961	123	1	2	CARDINAL
ejpam-4961	125	1	j=2	ORG
ejpam-4961	125	2	1	CARDINAL
ejpam-4961	125	3	2	CARDINAL
ejpam-4961	126	1	1 2	CARDINAL
ejpam-4961	126	2	0	CARDINAL
ejpam-4961	126	3	≥ k	PERSON
ejpam-4961	126	4	jth	PRODUCT
ejpam-4961	128	1	5	CARDINAL
ejpam-4961	129	1	only odd	CARDINAL
ejpam-4961	131	1	3	CARDINAL
ejpam-4961	131	2	up to 1000	CARDINAL
ejpam-4961	133	1	j=2	ORG
ejpam-4961	134	1	1	CARDINAL
ejpam-4961	134	2	2	CARDINAL
ejpam-4961	137	1	j = 2	PERSON
ejpam-4961	137	2	1 2	CARDINAL
ejpam-4961	138	1	6	CARDINAL
ejpam-4961	139	1	3	CARDINAL
ejpam-4961	140	1	1 2	CARDINAL
ejpam-4961	141	1	4	CARDINAL
ejpam-4961	141	2	j = 4	PERSON
ejpam-4961	142	1	1000 7	DATE
ejpam-4961	142	2	1 2	CARDINAL
ejpam-4961	142	3	2	CARDINAL
ejpam-4961	142	4	m. m. m. jaradat et al	PERSON
ejpam-4961	143	1	j. pure	PERSON
ejpam-4961	143	2	17	CARDINAL
ejpam-4961	143	3	2	CARDINAL
ejpam-4961	143	4	2024	CARDINAL
ejpam-4961	143	5	1146-1154	CARDINAL
ejpam-4961	143	6	5	CARDINAL
ejpam-4961	144	1	1000 11	CARDINAL
ejpam-4961	144	2	1 2	CARDINAL
ejpam-4961	144	3	0	CARDINAL
ejpam-4961	145	1	5	CARDINAL
ejpam-4961	145	2	∴	ORG
ejpam-4961	146	1	j=2	ORG
ejpam-4961	147	1	1	CARDINAL
ejpam-4961	147	2	2	CARDINAL
ejpam-4961	150	1	6.5 2	CARDINAL
ejpam-4961	151	1	4.3 2	CARDINAL
ejpam-4961	152	1	2.1 2	CARDINAL
ejpam-4961	153	1	i=1	GPE
ejpam-4961	153	2	333.3	CARDINAL
ejpam-4961	153	3	15	CARDINAL
ejpam-4961	154	1	200	CARDINAL
ejpam-4961	154	2	6	CARDINAL
ejpam-4961	155	1	142.8	CARDINAL
ejpam-4961	155	2	1	CARDINAL
ejpam-4961	155	3	94	CARDINAL
ejpam-4961	156	1	3	CARDINAL
ejpam-4961	159	1	j=k	PERSON
ejpam-4961	159	2	1	CARDINAL
ejpam-4961	159	3	2	CARDINAL
ejpam-4961	159	4	9	CARDINAL
ejpam-4961	160	1	1 2	CARDINAL
ejpam-4961	160	2	1 2	CARDINAL
ejpam-4961	160	3	n pm )	TIME
ejpam-4961	160	4	1 2	CARDINAL
ejpam-4961	160	5	0	CARDINAL
ejpam-4961	160	6	≥ k	PERSON
ejpam-4961	160	7	jth	PRODUCT
ejpam-4961	162	1	9	CARDINAL
ejpam-4961	162	2	5	CARDINAL
ejpam-4961	163	1	9	CARDINAL
ejpam-4961	163	2	only odd	CARDINAL
ejpam-4961	165	1	π(n	WORK_OF_ART
ejpam-4961	166	1	2	CARDINAL
ejpam-4961	166	2	1	CARDINAL
ejpam-4961	167	1	1153	CARDINAL
ejpam-4961	167	2	4	CARDINAL
ejpam-4961	169	1	up to 100	CARDINAL
ejpam-4961	169	2	50	CARDINAL
ejpam-4961	169	3	19	CARDINAL
ejpam-4961	169	4	5	CARDINAL
ejpam-4961	169	5	only 1 odd	CARDINAL
ejpam-4961	171	1	100− 50−	DATE
ejpam-4961	171	2	19 + 5 + 1	DATE
ejpam-4961	171	3	25	CARDINAL
ejpam-4961	173	1	3	CARDINAL
ejpam-4961	176	1	a period three	CARDINAL
ejpam-4961	177	1	1	CARDINAL
ejpam-4961	178	1	lagrange	GPE
ejpam-4961	178	2	one	CARDINAL
ejpam-4961	178	3	three	CARDINAL
ejpam-4961	179	1	2018	DATE
ejpam-4961	180	1	2	CARDINAL
ejpam-4961	181	1	lagrange	GPE
ejpam-4961	183	1	amer	PERSON
ejpam-4961	184	1	375:7669–7714	DATE
ejpam-4961	184	2	2022	CARDINAL
ejpam-4961	185	1	3	CARDINAL
ejpam-4961	185	2	wright g.h	PERSON
ejpam-4961	187	1	5th	ORDINAL
ejpam-4961	188	1	oxford	NORP
ejpam-4961	188	2	england	GPE
ejpam-4961	188	3	clarendon press	ORG
ejpam-4961	188	4	1979	DATE
ejpam-4961	189	1	4	CARDINAL
ejpam-4961	189	2	j. havil	PERSON
ejpam-4961	190	1	gamma	PERSON
ejpam-4961	190	2	euler	PERSON
ejpam-4961	191	1	princeton	PERSON
ejpam-4961	192	1	nj	ORG
ejpam-4961	192	2	princeton university press	ORG
ejpam-4961	192	3	164–188, 2003	DATE
ejpam-4961	193	1	5	CARDINAL
ejpam-4961	193	2	j. lagarias	PERSON
ejpam-4961	195	1	j. algorithms	PERSON
ejpam-4961	195	2	8:173	CARDINAL
ejpam-4961	195	3	191, 1987	DATE
ejpam-4961	196	1	6	CARDINAL
ejpam-4961	196	2	j. lagarias	PERSON
ejpam-4961	196	3	v.s. miller	ORG
ejpam-4961	199	1	comput	PERSON
ejpam-4961	200	1	44:537–560, 1985	DATE
ejpam-4961	201	1	7	CARDINAL
ejpam-4961	201	2	l. schoenfeld j.b. rosser.	PERSON
ejpam-4961	203	1	illinois j. math.	PERSON
ejpam-4961	203	2	6:64–97, 1962	DATE
ejpam-4961	204	1	8	CARDINAL
ejpam-4961	204	2	j.h. conway	GPE
ejpam-4961	204	3	h. dietrich	PERSON
ejpam-4961	205	1	moas	PERSON
ejpam-4961	207	1	intell	PERSON
ejpam-4961	207	2	30:6–18, 2008	DATE
ejpam-4961	208	1	1154	CARDINAL
ejpam-4961	208	2	9	CARDINAL
ejpam-4961	209	1	bemerkung	PERSON
ejpam-4961	211	1	14:1–5, 1959	DATE
ejpam-4961	212	1	10	CARDINAL
ejpam-4961	214	1	missouri	GPE
ejpam-4961	215	1	sci.	ORG
ejpam-4961	215	2	35(1):105–116	CARDINAL
ejpam-4961	215	3	2023	CARDINAL
ejpam-4961	216	1	11	CARDINAL
ejpam-4961	216	2	b. kane s. banerjee	PERSON
ejpam-4961	218	1	2020	DATE
ejpam-4961	219	1	12	CARDINAL
ejpam-4961	219	2	sharifullina s.t.	PERSON
ejpam-4961	221	1	russian	NORP
ejpam-4961	221	2	58(8):43–48,	DATE
ejpam-4961	221	3	2014	DATE