id	sid	eid	entity	type
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american_scientific_journal-7486	1	2	american	NORP
american_scientific_journal-7486	1	3	sciences issn	ORG
american_scientific_journal-7486	1	4	2313	CARDINAL
american_scientific_journal-7486	1	5	2313	CARDINAL
american_scientific_journal-7486	1	6	jacobus engelbrecht* independent	ORG
american_scientific_journal-7486	1	7	33	CARDINAL
american_scientific_journal-7486	1	8	william road	PERSON
american_scientific_journal-7486	1	9	pringle bay	PERSON
american_scientific_journal-7486	1	10	7196	DATE
american_scientific_journal-7486	1	11	south africa	GPE
american_scientific_journal-7486	2	1	1	CARDINAL
american_scientific_journal-7486	3	1	only two	CARDINAL
american_scientific_journal-7486	4	1	today	DATE
american_scientific_journal-7486	11	1	1	CARDINAL
american_scientific_journal-7486	17	1	one	CARDINAL
american_scientific_journal-7486	17	2	fermat	ORG
american_scientific_journal-7486	18	1	fermat	ORG
american_scientific_journal-7486	18	2	1	CARDINAL
american_scientific_journal-7486	21	1	american	NORP
american_scientific_journal-7486	21	2	2022	CARDINAL
american_scientific_journal-7486	21	3	88	CARDINAL
american_scientific_journal-7486	21	4	77-90 78	CARDINAL
american_scientific_journal-7486	21	5	rabin	GPE
american_scientific_journal-7486	21	6	miller	ORG
american_scientific_journal-7486	22	1	2	CARDINAL
american_scientific_journal-7486	23	1	3	CARDINAL
american_scientific_journal-7486	24	1	250 bce	QUANTITY
american_scientific_journal-7486	24	2	1934	DATE
american_scientific_journal-7486	25	1	agrawal m	ORG
american_scientific_journal-7486	25	2	kayal m	ORG
american_scientific_journal-7486	25	3	saxena n	PERSON
american_scientific_journal-7486	25	4	august 6, 2002	DATE
american_scientific_journal-7486	26	1	agrawal	PRODUCT
american_scientific_journal-7486	26	2	saxena primality	PERSON
american_scientific_journal-7486	26	3	aks	PERSON
american_scientific_journal-7486	26	4	4	CARDINAL
american_scientific_journal-7486	28	1	leonard adleman	PERSON
american_scientific_journal-7486	28	2	carl pomerance	PERSON
american_scientific_journal-7486	28	3	robert rumely	PERSON
american_scientific_journal-7486	28	4	henri cohen	PERSON
american_scientific_journal-7486	28	5	hendrik willem	PERSON
american_scientific_journal-7486	28	6	5	CARDINAL
american_scientific_journal-7486	30	1	one	CARDINAL
american_scientific_journal-7486	31	1	1.1	CARDINAL
american_scientific_journal-7486	31	2	two	CARDINAL
american_scientific_journal-7486	32	1	6	CARDINAL
american_scientific_journal-7486	33	1	1.2	CARDINAL
american_scientific_journal-7486	36	1	2	CARDINAL
american_scientific_journal-7486	37	1	2.1	CARDINAL
american_scientific_journal-7486	38	1	3	CARDINAL
american_scientific_journal-7486	38	2	two	CARDINAL
american_scientific_journal-7486	38	3	5	CARDINAL
american_scientific_journal-7486	38	4	6	CARDINAL
american_scientific_journal-7486	38	5	7	CARDINAL
american_scientific_journal-7486	38	6	6	CARDINAL
american_scientific_journal-7486	38	7	https://en.wikipedia.org/wiki/manindra_agrawal	NORP
american_scientific_journal-7486	38	8	https://en.wikipedia.org/wiki/hendrik_willem_lenstra	NORP
american_scientific_journal-7486	38	9	american	NORP
american_scientific_journal-7486	38	10	2022	CARDINAL
american_scientific_journal-7486	38	11	88	CARDINAL
american_scientific_journal-7486	38	12	77-90 79	PERCENT
american_scientific_journal-7486	38	13	90	CARDINAL
american_scientific_journal-7486	39	1	2.2	CARDINAL
american_scientific_journal-7486	39	2	1	CARDINAL
american_scientific_journal-7486	39	3	5	CARDINAL
american_scientific_journal-7486	39	4	6	CARDINAL
american_scientific_journal-7486	39	5	7	CARDINAL
american_scientific_journal-7486	39	6	6	CARDINAL
american_scientific_journal-7486	39	7	one	CARDINAL
american_scientific_journal-7486	39	8	one	CARDINAL
american_scientific_journal-7486	40	1	1	CARDINAL
american_scientific_journal-7486	40	2	5	CARDINAL
american_scientific_journal-7486	40	3	6	CARDINAL
american_scientific_journal-7486	41	1	6	CARDINAL
american_scientific_journal-7486	42	1	congruence modulo	PERSON
american_scientific_journal-7486	42	2	5	CARDINAL
american_scientific_journal-7486	43	1	5	CARDINAL
american_scientific_journal-7486	43	2	5(mod 6	CARDINAL
american_scientific_journal-7486	44	1	2.2.1	CARDINAL
american_scientific_journal-7486	44	2	2	CARDINAL
american_scientific_journal-7486	44	3	7	CARDINAL
american_scientific_journal-7486	44	4	6	CARDINAL
american_scientific_journal-7486	45	1	congruence modulo	PERSON
american_scientific_journal-7486	45	2	7	CARDINAL
american_scientific_journal-7486	46	1	american	NORP
american_scientific_journal-7486	46	2	2022	CARDINAL
american_scientific_journal-7486	46	3	88	CARDINAL
american_scientific_journal-7486	46	4	77-90 80	PERCENT
american_scientific_journal-7486	47	1	7	CARDINAL
american_scientific_journal-7486	48	1	7(mod 6	TIME
american_scientific_journal-7486	48	2	1(mod 6	CARDINAL
american_scientific_journal-7486	49	1	2.2.2	CARDINAL
american_scientific_journal-7486	49	2	6n	CARDINAL
american_scientific_journal-7486	49	3	6n	CARDINAL
american_scientific_journal-7486	50	1	6n + 3	DATE
american_scientific_journal-7486	52	1	6n	CARDINAL
american_scientific_journal-7486	52	2	6n+ 1	CARDINAL
american_scientific_journal-7486	52	3	6n+ 2	CARDINAL
american_scientific_journal-7486	52	4	6n	CARDINAL
american_scientific_journal-7486	52	5	6n	CARDINAL
american_scientific_journal-7486	52	6	6n	CARDINAL
american_scientific_journal-7486	55	1	6n	CARDINAL
american_scientific_journal-7486	56	1	6n+2	CARDINAL
american_scientific_journal-7486	56	2	6n+3	CARDINAL
american_scientific_journal-7486	56	3	6n+4	CARDINAL
american_scientific_journal-7486	57	1	2	CARDINAL
american_scientific_journal-7486	57	2	6n + 1	QUANTITY
american_scientific_journal-7486	57	3	6n + 5	CARDINAL
american_scientific_journal-7486	59	1	6n	CARDINAL
american_scientific_journal-7486	59	2	1(mod 6	CARDINAL
american_scientific_journal-7486	61	1	6n	CARDINAL
american_scientific_journal-7486	61	2	5(mod 6	CARDINAL
american_scientific_journal-7486	62	1	2.2.1	CARDINAL
american_scientific_journal-7486	62	2	2.2.2	CARDINAL
american_scientific_journal-7486	63	1	3.	CARDINAL
american_scientific_journal-7486	63	2	3.1	CARDINAL
american_scientific_journal-7486	63	3	280	CARDINAL
american_scientific_journal-7486	64	1	90 to 280	CARDINAL
american_scientific_journal-7486	64	2	270	CARDINAL
american_scientific_journal-7486	65	1	5	CARDINAL
american_scientific_journal-7486	65	2	5	CARDINAL
american_scientific_journal-7486	65	3	5	CARDINAL
american_scientific_journal-7486	65	4	6	CARDINAL
american_scientific_journal-7486	66	1	7	CARDINAL
american_scientific_journal-7486	66	2	3	CARDINAL
american_scientific_journal-7486	66	3	3	CARDINAL
american_scientific_journal-7486	66	4	6	CARDINAL
american_scientific_journal-7486	67	1	280	CARDINAL
american_scientific_journal-7486	68	1	3.2	CARDINAL
american_scientific_journal-7486	68	2	397	CARDINAL
american_scientific_journal-7486	69	1	90	CARDINAL
american_scientific_journal-7486	69	2	397	CARDINAL
american_scientific_journal-7486	69	3	360	CARDINAL
american_scientific_journal-7486	70	1	5	CARDINAL
american_scientific_journal-7486	70	2	32	CARDINAL
american_scientific_journal-7486	70	3	32	DATE
american_scientific_journal-7486	70	4	6	CARDINAL
american_scientific_journal-7486	71	1	american	NORP
american_scientific_journal-7486	71	2	2022	CARDINAL
american_scientific_journal-7486	71	3	88	CARDINAL
american_scientific_journal-7486	71	4	77-90	PERCENT
american_scientific_journal-7486	71	5	30	CARDINAL
american_scientific_journal-7486	71	6	30	CARDINAL
american_scientific_journal-7486	71	7	6	CARDINAL
american_scientific_journal-7486	72	1	397	CARDINAL
american_scientific_journal-7486	73	1	3.3	CARDINAL
american_scientific_journal-7486	74	1	two	CARDINAL
american_scientific_journal-7486	74	2	appendix 1	FAC
american_scientific_journal-7486	74	3	4	CARDINAL
american_scientific_journal-7486	74	4	lothar collatz	PERSON
american_scientific_journal-7486	74	5	1937	DATE
american_scientific_journal-7486	75	1	3n	CARDINAL
american_scientific_journal-7486	76	1	2	CARDINAL
american_scientific_journal-7486	78	1	1	CARDINAL
american_scientific_journal-7486	79	1	4.1	CARDINAL
american_scientific_journal-7486	79	2	8 and 9	CARDINAL
american_scientific_journal-7486	79	3	•	CARDINAL
american_scientific_journal-7486	81	1	•	CARDINAL
american_scientific_journal-7486	82	1	3x	CARDINAL
american_scientific_journal-7486	84	1	4.2	CARDINAL
american_scientific_journal-7486	84	2	6	CARDINAL
american_scientific_journal-7486	84	3	3	CARDINAL
american_scientific_journal-7486	84	4	three	CARDINAL
american_scientific_journal-7486	85	1	three	CARDINAL
american_scientific_journal-7486	85	2	1	CARDINAL
american_scientific_journal-7486	86	1	90	CARDINAL
american_scientific_journal-7486	86	2	x.	GPE
american_scientific_journal-7486	86	3	5	CARDINAL
american_scientific_journal-7486	86	4	6	CARDINAL
american_scientific_journal-7486	86	5	american	NORP
american_scientific_journal-7486	86	6	2022	CARDINAL
american_scientific_journal-7486	86	7	88	CARDINAL
american_scientific_journal-7486	86	8	77-90 82	CARDINAL
american_scientific_journal-7486	87	1	two	CARDINAL
american_scientific_journal-7486	87	2	1	CARDINAL
american_scientific_journal-7486	87	3	2	CARDINAL
american_scientific_journal-7486	88	1	two	CARDINAL
american_scientific_journal-7486	88	2	3	CARDINAL
american_scientific_journal-7486	89	1	three	CARDINAL
american_scientific_journal-7486	89	2	1	CARDINAL
american_scientific_journal-7486	89	3	3	CARDINAL
american_scientific_journal-7486	90	1	three	CARDINAL
american_scientific_journal-7486	90	2	1	CARDINAL
american_scientific_journal-7486	90	3	three	CARDINAL
american_scientific_journal-7486	93	1	american academic scientific research journal	ORG
american_scientific_journal-7486	93	2	2022	CARDINAL
american_scientific_journal-7486	93	3	88	CARDINAL
american_scientific_journal-7486	93	4	77-90 83	DATE
american_scientific_journal-7486	97	1	3x	CARDINAL
american_scientific_journal-7486	99	1	4.1	CARDINAL
american_scientific_journal-7486	99	2	two	CARDINAL
american_scientific_journal-7486	99	3	1	CARDINAL
american_scientific_journal-7486	99	4	two	CARDINAL
american_scientific_journal-7486	99	5	3	CARDINAL
american_scientific_journal-7486	100	1	firstly	ORDINAL
american_scientific_journal-7486	100	2	3	CARDINAL
american_scientific_journal-7486	101	1	3	CARDINAL
american_scientific_journal-7486	101	2	3x	CARDINAL
american_scientific_journal-7486	102	1	3x	CARDINAL
american_scientific_journal-7486	102	2	3x	CARDINAL
american_scientific_journal-7486	103	1	3x	CARDINAL
american_scientific_journal-7486	104	1	2	CARDINAL
american_scientific_journal-7486	105	1	three	CARDINAL
american_scientific_journal-7486	105	2	c3	PERSON
american_scientific_journal-7486	108	1	c3	PERSON
american_scientific_journal-7486	109	1	3	CARDINAL
american_scientific_journal-7486	110	1	6	CARDINAL
american_scientific_journal-7486	111	1	6	CARDINAL
american_scientific_journal-7486	114	1	4.4	CARDINAL
american_scientific_journal-7486	114	2	n30 + 1 + 6 + 4 + 2 + 4 + 2 + 4 + 6	DATE
american_scientific_journal-7486	114	3	30	CARDINAL
american_scientific_journal-7486	115	1	4.5	CARDINAL
american_scientific_journal-7486	115	2	1	CARDINAL
american_scientific_journal-7486	115	3	2	CARDINAL
american_scientific_journal-7486	115	4	american	NORP
american_scientific_journal-7486	115	5	2022	CARDINAL
american_scientific_journal-7486	115	6	88	CARDINAL
american_scientific_journal-7486	115	7	77-90 84	PERCENT
american_scientific_journal-7486	116	1	4.6	CARDINAL
american_scientific_journal-7486	118	1	first	ORDINAL
american_scientific_journal-7486	118	2	70	CARDINAL
american_scientific_journal-7486	118	3	first	ORDINAL
american_scientific_journal-7486	118	4	35	CARDINAL
american_scientific_journal-7486	119	1	70	CARDINAL
american_scientific_journal-7486	120	1	more than one	CARDINAL
american_scientific_journal-7486	121	1	48	DATE
american_scientific_journal-7486	121	2	48	CARDINAL
american_scientific_journal-7486	121	3	24	DATE
american_scientific_journal-7486	121	4	12	DATE
american_scientific_journal-7486	121	5	6	DATE
american_scientific_journal-7486	121	6	3	DATE
american_scientific_journal-7486	122	1	first	ORDINAL
american_scientific_journal-7486	124	1	4	CARDINAL
american_scientific_journal-7486	124	2	2	DATE
american_scientific_journal-7486	124	3	1	CARDINAL
american_scientific_journal-7486	124	4	4	CARDINAL
american_scientific_journal-7486	124	5	2	DATE
american_scientific_journal-7486	124	6	1	CARDINAL
american_scientific_journal-7486	125	1	5	CARDINAL
american_scientific_journal-7486	125	2	2.1	CARDINAL
american_scientific_journal-7486	126	1	2.1	CARDINAL
american_scientific_journal-7486	126	2	appendix 1	FAC
american_scientific_journal-7486	128	1	3	CARDINAL
american_scientific_journal-7486	128	2	1	CARDINAL
american_scientific_journal-7486	129	1	4.2	CARDINAL
american_scientific_journal-7486	130	1	appendix 2	PRODUCT
american_scientific_journal-7486	130	2	4.4	CARDINAL
american_scientific_journal-7486	130	3	3	CARDINAL
american_scientific_journal-7486	131	1	3	CARDINAL
american_scientific_journal-7486	131	2	3	CARDINAL
american_scientific_journal-7486	132	1	2.1	CARDINAL
american_scientific_journal-7486	132	2	3	CARDINAL
american_scientific_journal-7486	132	3	two	CARDINAL
american_scientific_journal-7486	132	4	5	CARDINAL
american_scientific_journal-7486	132	5	6	CARDINAL
american_scientific_journal-7486	132	6	7	CARDINAL
american_scientific_journal-7486	132	7	6	CARDINAL
american_scientific_journal-7486	132	8	90	CARDINAL
american_scientific_journal-7486	133	1	4.2	CARDINAL
american_scientific_journal-7486	133	2	american	NORP
american_scientific_journal-7486	133	3	2022	CARDINAL
american_scientific_journal-7486	133	4	88	CARDINAL
american_scientific_journal-7486	133	5	77-90 85	PERCENT
american_scientific_journal-7486	133	6	6	CARDINAL
american_scientific_journal-7486	133	7	3	CARDINAL
american_scientific_journal-7486	133	8	4.4	CARDINAL
american_scientific_journal-7486	134	1	n30 + 1 + 6 + 4 + 2 + 4 + 2 + 4 + 6	DATE
american_scientific_journal-7486	134	2	30	CARDINAL
american_scientific_journal-7486	135	1	6	CARDINAL
american_scientific_journal-7486	137	1	1	CARDINAL
american_scientific_journal-7486	137	2	m. dorsey	PERSON
american_scientific_journal-7486	137	3	s. zachary	PERSON
american_scientific_journal-7486	139	1	1	CARDINAL
american_scientific_journal-7486	139	2	133-141	CARDINAL
american_scientific_journal-7486	139	3	1999	DATE
american_scientific_journal-7486	140	1	2	CARDINAL
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american_scientific_journal-7486	141	2	34)4	CARDINAL
american_scientific_journal-7486	141	3	pp.304	ORG
american_scientific_journal-7486	141	4	2013	DATE
american_scientific_journal-7486	142	1	3	CARDINAL
american_scientific_journal-7486	142	2	burt	PERSON
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american_scientific_journal-7486	146	1	miami	GPE
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american_scientific_journal-7486	147	1	4	CARDINAL
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american_scientific_journal-7486	151	2	2	CARDINAL
american_scientific_journal-7486	152	1	781–793, 2004	DATE
american_scientific_journal-7486	153	1	5	CARDINAL
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american_scientific_journal-7486	156	1	42	DATE
american_scientific_journal-7486	156	2	165	CARDINAL
american_scientific_journal-7486	157	1	297–330	CARDINAL
american_scientific_journal-7486	157	2	1984	DATE
american_scientific_journal-7486	158	1	6	CARDINAL
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american_scientific_journal-7486	160	2	2012	DATE
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american_scientific_journal-7486	163	1	john wiley & sons	ORG
american_scientific_journal-7486	163	2	2006	DATE
american_scientific_journal-7486	164	1	8	CARDINAL
american_scientific_journal-7486	166	1	sep. 20, 2020	DATE
american_scientific_journal-7486	167	1	2020	DATE
american_scientific_journal-7486	168	1	9	CARDINAL
american_scientific_journal-7486	168	2	k. hartnet	PERSON
american_scientific_journal-7486	169	1	dec. 11	DATE
american_scientific_journal-7486	169	2	2019	DATE
american_scientific_journal-7486	169	3	2020	DATE
american_scientific_journal-7486	169	4	https://en.wikipedia.org/wiki/hendrik_lenstra https://doi.org/10.2307%2f2007581 https://en.wikipedia.org/wiki/mathematics_of_computation	ORG
american_scientific_journal-7486	169	5	american	NORP
american_scientific_journal-7486	169	6	2022	CARDINAL
american_scientific_journal-7486	169	7	88	CARDINAL
american_scientific_journal-7486	169	8	77-90 86	PERCENT
american_scientific_journal-7486	169	9	appendix 1 matlab	PRODUCT
american_scientific_journal-7486	169	10	2.1	CARDINAL
american_scientific_journal-7486	170	1	clc	PERSON
american_scientific_journal-7486	170	2	0	CARDINAL
american_scientific_journal-7486	171	1	90	CARDINAL
american_scientific_journal-7486	171	2	5	CARDINAL
american_scientific_journal-7486	171	3	90	CARDINAL
american_scientific_journal-7486	171	4	american	NORP
american_scientific_journal-7486	171	5	2022	CARDINAL
american_scientific_journal-7486	171	6	88	CARDINAL
american_scientific_journal-7486	171	7	77-90 87	DATE
american_scientific_journal-7486	172	1	appendix 2 matlab	PRODUCT
american_scientific_journal-7486	172	2	4.2	CARDINAL
american_scientific_journal-7486	173	1	clc	PERSON
american_scientific_journal-7486	173	2	0	CARDINAL
american_scientific_journal-7486	173	3	fprintf	PERSON
american_scientific_journal-7486	173	4	american	NORP
american_scientific_journal-7486	173	5	2022	CARDINAL
american_scientific_journal-7486	173	6	88	CARDINAL
american_scientific_journal-7486	173	7	77-90 88	PERCENT
american_scientific_journal-7486	173	8	appendix 3	LAW
american_scientific_journal-7486	173	9	4.4	CARDINAL
american_scientific_journal-7486	175	1	0	CARDINAL
american_scientific_journal-7486	176	1	n p u t ( ’	ORG
american_scientific_journal-7486	182	1	6	DATE
american_scientific_journal-7486	182	2	4	DATE
american_scientific_journal-7486	182	3	2	DATE
american_scientific_journal-7486	182	4	4	DATE
american_scientific_journal-7486	182	5	2	DATE
american_scientific_journal-7486	182	6	4	DATE
american_scientific_journal-7486	182	7	6	CARDINAL
american_scientific_journal-7486	182	8	no / 30	EVENT
american_scientific_journal-7486	183	1	x1=30∗	GPE
american_scientific_journal-7486	183	2	0	CARDINAL
american_scientific_journal-7486	183	3	j =1	PERSON
american_scientific_journal-7486	183	4	american	NORP
american_scientific_journal-7486	183	5	2022	CARDINAL
american_scientific_journal-7486	183	6	88	CARDINAL
american_scientific_journal-7486	183	7	77-90 89	PERCENT
american_scientific_journal-7486	184	1	no==s	ORG
american_scientific_journal-7486	185	1	1	CARDINAL
american_scientific_journal-7486	185	2	1	CARDINAL
american_scientific_journal-7486	186	1	1	CARDINAL
american_scientific_journal-7486	186	2	1	CARDINAL
american_scientific_journal-7486	187	1	j=j +1	PERSON
american_scientific_journal-7486	188	1	1	CARDINAL
american_scientific_journal-7486	190	1	1	CARDINAL
american_scientific_journal-7486	203	1	american	NORP
american_scientific_journal-7486	203	2	2022	CARDINAL
american_scientific_journal-7486	203	3	88	CARDINAL
american_scientific_journal-7486	203	4	77-90 90	PERCENT