id	sid	eid	entity	type
iajs-3181	1	1	ihjpas	PERSON
iajs-3181	2	1	36	CARDINAL
iajs-3181	2	2	4	CARDINAL
iajs-3181	2	3	2023 377	DATE
iajs-3181	2	4	4.0	CARDINAL
iajs-3181	4	1	annan	PERSON
iajs-3181	6	1	two	CARDINAL
iajs-3181	11	1	antihopfian	NORP
iajs-3181	12	1	1	CARDINAL
iajs-3181	12	2	w	ORG
iajs-3181	13	1	annab=annan	PERSON
iajs-3181	13	2	submodule nof b	ORG
iajs-3181	13	3	∈	ORG
iajs-3181	14	1	hasan	PERSON
iajs-3181	14	2	3	CARDINAL
iajs-3181	14	3	qasi-prime	GPE
iajs-3181	14	4	anna n	PERSON
iajs-3181	16	1	9	CARDINAL
iajs-3181	16	2	w.	PERSON
iajs-3181	16	3	√annb/n	PRODUCT
iajs-3181	16	4	two	CARDINAL
iajs-3181	17	1	9	CARDINAL
iajs-3181	17	2	20	CARDINAL
iajs-3181	17	3	october 2023	DATE
iajs-3181	17	4	al-haitham	ORG
iajs-3181	17	5	applied sciences journal	ORG
iajs-3181	17	6	muntaha	ORG
iajs-3181	17	7	hasan department	PERSON
iajs-3181	18	1	36	CARDINAL
iajs-3181	18	2	4	CARDINAL
iajs-3181	18	3	2023 378	CARDINAL
iajs-3181	20	1	2	CARDINAL
iajs-3181	20	2	2.1	CARDINAL
iajs-3181	20	3	2.2	CARDINAL
iajs-3181	20	4	1it	DATE
iajs-3181	20	5	zn	ORG
iajs-3181	21	1	two	CARDINAL
iajs-3181	22	1	two	CARDINAL
iajs-3181	24	1	3zp∞	CARDINAL
iajs-3181	24	2	zp∞	GPE
iajs-3181	24	3	1	CARDINAL
iajs-3181	24	4	1	CARDINAL
iajs-3181	25	1	4suppose	CARDINAL
iajs-3181	27	1	2.3	CARDINAL
iajs-3181	28	1	ab∈	GPE
iajs-3181	28	2	[k:n	PERSON
iajs-3181	28	3	⊆	CARDINAL
iajs-3181	28	4	anbn ∈	LAW
iajs-3181	28	5	w	ORG
iajs-3181	31	1	[k:n	PERSON
iajs-3181	32	1	a∈	PERSON
iajs-3181	32	2	b∈	PERSON
iajs-3181	34	1	≅	CARDINAL
iajs-3181	34	2	submodule nof	ORG
iajs-3181	34	3	4	CARDINAL
iajs-3181	34	4	5	CARDINAL
iajs-3181	35	1	2.4	CARDINAL
iajs-3181	36	1	≅	CARDINAL
iajs-3181	37	1	∈	ORG
iajs-3181	38	1	36	CARDINAL
iajs-3181	38	2	4	CARDINAL
iajs-3181	38	3	2023 379	CARDINAL
iajs-3181	38	4	annab=annab/n	PERSON
iajs-3181	38	5	6	CARDINAL
iajs-3181	38	6	5	CARDINAL
iajs-3181	38	7	w=n	PERSON
iajs-3181	38	8	√𝑎𝑛𝑛𝑁	DATE
iajs-3181	38	9	anbn	PERSON
iajs-3181	38	10	∈	ORG
iajs-3181	39	1	3	CARDINAL
iajs-3181	40	1	∈	ORG
iajs-3181	40	2	√[𝑁	TIME
iajs-3181	41	1	2.2	CARDINAL
iajs-3181	41	2	3	CARDINAL
iajs-3181	41	3	z6	ORG
iajs-3181	41	4	6	CARDINAL
iajs-3181	42	1	2.5	CARDINAL
iajs-3181	43	1	3	CARDINAL
iajs-3181	43	2	w	ORG
iajs-3181	43	3	means√[𝑁	ORG
iajs-3181	44	1	w	ORG
iajs-3181	48	1	2.6	CARDINAL
iajs-3181	49	1	2.7	CARDINAL
iajs-3181	50	1	1	CARDINAL
iajs-3181	51	1	2	CARDINAL
iajs-3181	52	1	1	CARDINAL
iajs-3181	52	2	2	CARDINAL
iajs-3181	52	3	2-5	DATE
iajs-3181	52	4	2	CARDINAL
iajs-3181	52	5	1	CARDINAL
iajs-3181	52	6	ab ∈	ORG
iajs-3181	53	1	w	ORG
iajs-3181	54	1	a∈	GPE
iajs-3181	54	2	b∈ anncn	PERSON
iajs-3181	56	1	2.8	CARDINAL
iajs-3181	56	2	1b	CARDINAL
iajs-3181	57	1	2b	CARDINAL
iajs-3181	58	1	3anncb	ORG
iajs-3181	59	1	ihjpas	PERSON
iajs-3181	60	1	36	CARDINAL
iajs-3181	60	2	4	CARDINAL
iajs-3181	60	3	2023 380	CARDINAL
iajs-3181	60	4	1→ 2	CARDINAL
iajs-3181	60	5	2.5	CARDINAL
iajs-3181	60	6	2	CARDINAL
iajs-3181	60	7	3	CARDINAL
iajs-3181	60	8	ab ∈	ORG
iajs-3181	60	9	ab∈	GPE
iajs-3181	60	10	anbn ∈	LAW
iajs-3181	62	1	9	CARDINAL
iajs-3181	62	2	√𝑎𝑛𝑛𝐵	PERSON
iajs-3181	62	3	b∈	PERSON
iajs-3181	62	4	a∈	GPE
iajs-3181	62	5	b∈	PERSON
iajs-3181	63	1	3 → 1	CARDINAL
iajs-3181	63	2	3	CARDINAL
iajs-3181	64	1	2.9	CARDINAL
iajs-3181	66	1	a1 na2	PRODUCT
iajs-3181	66	2	x∈	DATE
iajs-3181	66	3	a1 na2	PRODUCT
iajs-3181	66	4	x∈	DATE
iajs-3181	66	5	a1 na2 n∈	PRODUCT
iajs-3181	67	1	∈	ORG
iajs-3181	67	2	a2∈ √[𝑁:𝐴 𝐵	PERSON
iajs-3181	70	1	∈	ORG
iajs-3181	70	2	a1+i)∈	NORP
iajs-3181	70	3	√[𝑁:𝐴/𝐽 𝐵	PERSON
iajs-3181	71	1	a1,a2∈ √[𝑁:𝐴 𝐵	PERSON
iajs-3181	71	2	a1 n a2 nx=0	PRODUCT
iajs-3181	71	3	x∈	DATE
iajs-3181	71	4	jw/n	ORG
iajs-3181	71	5	a1+i)∈	NORP
iajs-3181	71	6	√[𝑁:𝐴/𝐽 𝐵	PERSON
iajs-3181	72	1	∈	ORG
iajs-3181	72	2	a1∈ √[𝑁:𝐴 𝐵	PERSON
iajs-3181	73	1	2.10	CARDINAL
iajs-3181	73	2	two	CARDINAL
iajs-3181	74	1	f(an).f(bn)∈	PERSON
iajs-3181	75	1	f(n	ORG
iajs-3181	75	2	f(n	ORG
iajs-3181	75	3	f(b1)=b2,f(n)=n2	ORG
iajs-3181	75	4	x∈	DATE
iajs-3181	75	5	xy∈	PRODUCT
iajs-3181	75	6	𝐵2	PERSON
iajs-3181	76	1	𝐵2	PERSON
iajs-3181	77	1	ihjpas	PERSON
iajs-3181	78	1	36	CARDINAL
iajs-3181	78	2	4	CARDINAL
iajs-3181	78	3	2023 381	CARDINAL
iajs-3181	78	4	2.11	CARDINAL
iajs-3181	79	1	theorem	PERSON
iajs-3181	79	2	2.12	CARDINAL
iajs-3181	79	3	two	CARDINAL
iajs-3181	79	4	b1,b2	PERSON
iajs-3181	79	5	b1⨁	DATE
iajs-3181	79	6	⊆	CARDINAL
iajs-3181	79	7	⊆	CARDINAL
iajs-3181	81	1	⊆	CARDINAL
iajs-3181	82	1	⊆	CARDINAL
iajs-3181	84	1	a.	GPE
iajs-3181	84	2	b1⨁	ORG
iajs-3181	85	1	√𝑇	PRODUCT
iajs-3181	85	2	⊆	CARDINAL
iajs-3181	85	3	two	CARDINAL
iajs-3181	85	4	2.2	CARDINAL
iajs-3181	86	1	√[(2	PERSON
iajs-3181	86	2	𝑍18	ORG
iajs-3181	87	1	𝑍18	EVENT
iajs-3181	87	2	𝑍18	EVENT
iajs-3181	87	3	𝑍18 since√(3	PRODUCT
iajs-3181	88	1	𝑍18	ORG
iajs-3181	88	2	𝑍18 ∩ √𝑍3	PRODUCT
iajs-3181	88	3	𝑍18	ORG
iajs-3181	88	4	∩	PERSON
iajs-3181	88	5	3	CARDINAL
iajs-3181	89	1	3.	CARDINAL
iajs-3181	90	1	3.1	CARDINAL
iajs-3181	91	1	3	CARDINAL
iajs-3181	91	2	2.5	CARDINAL
iajs-3181	92	1	3.1	CARDINAL
iajs-3181	93	1	2.2	CARDINAL
iajs-3181	93	2	1	CARDINAL
iajs-3181	94	1	ihjpas	PERSON
iajs-3181	95	1	36	CARDINAL
iajs-3181	95	2	4	CARDINAL
iajs-3181	95	3	2023 382	CARDINAL
iajs-3181	95	4	3.2	CARDINAL
iajs-3181	95	5	1	CARDINAL
iajs-3181	96	1	2	CARDINAL
iajs-3181	97	1	1→ 2	CARDINAL
iajs-3181	97	2	3-1	CARDINAL
iajs-3181	97	3	2	CARDINAL
iajs-3181	97	4	6	CARDINAL
iajs-3181	97	5	b∈	PERSON
iajs-3181	97	6	0	CARDINAL
iajs-3181	97	7	b∈	PERSON
iajs-3181	97	8	cb=n	ORG
iajs-3181	97	9	n=0	PERSON
iajs-3181	99	1	3.3	CARDINAL
iajs-3181	99	2	1bis	CARDINAL
iajs-3181	100	1	2b	CARDINAL
iajs-3181	101	1	3b	CARDINAL
iajs-3181	102	1	proof 1	CARDINAL
iajs-3181	103	1	2	CARDINAL
iajs-3181	103	2	3	CARDINAL
iajs-3181	103	3	3.2	CARDINAL
iajs-3181	104	1	3→ 1	CARDINAL
iajs-3181	104	2	3	CARDINAL
iajs-3181	105	1	3.4	CARDINAL
iajs-3181	108	1	quasisemiprime	ORG
iajs-3181	109	1	1	CARDINAL
iajs-3181	110	1	al-bahraany	PERSON
iajs-3181	110	2	j. sclence 1996	PERSON
iajs-3181	110	3	37	DATE
iajs-3181	110	4	2	CARDINAL
iajs-3181	110	5	1431	CARDINAL
iajs-3181	111	1	2	CARDINAL
iajs-3181	111	2	desale	PERSON
iajs-3181	111	3	nicholson	PERSON
iajs-3181	111	4	w. k.	PERSON
iajs-3181	111	5	1981,70,3,548-560	CARDINAL
iajs-3181	111	6	ihjpas	PERSON
iajs-3181	112	1	36	CARDINAL
iajs-3181	112	2	4	CARDINAL
iajs-3181	112	3	2023	CARDINAL
iajs-3181	113	1	hasan,m.a.quasi-prime	PERSON
iajs-3181	113	2	1999	DATE
iajs-3181	114	1	4.	CARDINAL
iajs-3181	114	2	hirano	PERSON
iajs-3181	114	3	mogani	PERSON
iajs-3181	114	4	math.j.	GPE
iajs-3181	114	5	kayama1986	GPE
iajs-3181	114	6	univ	NORP
iajs-3181	114	7	131	CARDINAL
iajs-3181	115	1	5	CARDINAL
iajs-3181	116	1	al-awadi	PERSON
iajs-3181	117	1	baghdad	GPE
iajs-3181	118	1	6	CARDINAL
iajs-3181	118	2	hadi.m	ORG
iajs-3181	119	1	a.i	PERSON
iajs-3181	119	2	kassm	GPE
iajs-3181	119	3	i. r.,coprime	PERSON
iajs-3181	119	4	journal of physics	ORG
iajs-3181	119	5	2018 1003,1,1-15	DATE
iajs-3181	120	1	hadi m. a.	PERSON
iajs-3181	121	1	kasam,.i.r	PERSON
iajs-3181	122	1	j.	PERSON
iajs-3181	123	1	,2010	PERSON
iajs-3181	123	2	23,.3	DATE
iajs-3181	123	3	8	CARDINAL
iajs-3181	124	1	budapest	GPE
iajs-3181	124	2	hungary	GPE
iajs-3181	124	3	chichester	GPE
iajs-3181	124	4	akademiai kiado,1981,pp.139	PERSON
iajs-3181	125	1	9.	CARDINAL
iajs-3181	125	2	annin	ORG
iajs-3181	125	3	s.	PERSON
iajs-3181	125	4	ph.d	NORP
iajs-3181	125	5	2002,univ.of	CARDINAL