4 001 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
24007	5	14.6	old
416775327791	12	38.6	old
2650584872599	13	41.3	old
18263906015753203889857678951	29	93.9	old
11228234992112410011165597181282604695853195021678012695442609737	65	212.8	2021-04-30 16:36:50

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	17693 / 40830

Estimated T-Level: 52.2 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	E8AE2612AA131CAF	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E8AE2612AA131CAF	4	0	1	3
Verified (Factored)	2017-12-07	ATH	E8AE2612AA131CAF	4	1589	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	36D02A5B658B5784	4	1428	5	3
Verified	2021-04-30	mikr	36D02A5B658B5784	5	1842	5	3
Verified	2021-05-02	daveward2005	36D02A5B658B5784	5	627	5	3

History

Date	User	Type	Result
2023-05-15	-Anonymous-	NF-PM1	B1=81000000000, B2=812832933743280450
2022-02-13	LordJulius	NF-PM1	B1=1000000000, B2=3253810517717760
2021-09-09	Jinyuan Wang	NF-PM1	B1=130000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2021-05-02	daveward2005	C-PRP	M4001/24007/416775327791/2650584872599/18263906015753203889857678951/11228234992112410011165597181282604695853195021678012695442609737 : 36D02A5B658B5784 PRP: Verified PRP without proof (small exponent)
2021-04-30	mikr	C-PRP	M4001/24007/416775327791/2650584872599/18263906015753203889857678951/11228234992112410011165597181282604695853195021678012695442609737 : 36D02A5B658B5784 PRP: Verified PRP without proof (small exponent)
2021-04-30	Ryan Propper	F-ECM	Factor: 11228234992112410011165597181282604695853195021678012695442609737 / (ECM curve 1, B1=850000000, B2=14182957708936, Sigma=15234304705639590802)
2020-04-17	Oliver Kruse	C-PRP	M4001/24007/416775327791/2650584872599/18263906015753203889857678951 : 36D02A5B658B5784 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4001/24007/416775327791/2650584872599/18263906015753203889857678951 : E8AE2612AA131CAF PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4001/24007/416775327791/2650584872599/18263906015753203889857678951 : E8AE2612AA131CAF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4001/known_factors : E8AE2612AA131CAF PRP without proof (not generated)