3 253 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
46452841	8	25.5	old
2044752054769	13	40.9	old
20662155049121	14	44.2	old
1127855884305312455278547118213151823780351	43	139.7	2018-11-18 10:35:52
1389240554095922247918649348327709176117328528199396074921	58	189.8	2020-07-20 12:57:12
1412736827674756961653559679785169749565521810260070726493193	61	199.8	2019-12-06 15:09:19

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	15479 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	4AC2CC9DC18D17C5	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	4AC2CC9DC18D17C5	3	822	1	3
Verified (Factored)	2018-11-18	-Anonymous-	E3B654EA30E91FEB	4	1471	5	3
Verified (Factored)	2018-11-20	oodaira	E3B654EA30E91FEB	4	2533	5	3
Verified (Factored)	2019-12-07	Niels_Mache_Nextcloud	E3B654EA30E91FEB	5	2225	5	3
Verified (Factored)	2020-04-17	Oliver Kruse	E3B654EA30E91FEB	5	2829	5	3
Verified	2020-07-20	ATH	E3B654EA30E91FEB	6	2883	5	3

History

Date	User	Type	Result
2024-05-16	masser	NF-PM1	B1=77000000000, B2=157050244686084750
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-07-20	ATH	C-PRP	M3253/46452841/2044752054769/20662155049121/1127855884305312455278547118213151823780351/1412736827674756961653559679785169749565521810260070726493193/1389240554095922247918649348327709176117328528199396074921 : E3B654EA30E91FEB PRP: Verified PRP without proof (small exponent)
2020-07-20	Ryan Propper	F-ECM	Factor: 1389240554095922247918649348327709176117328528199396074921 / (ECM curve 1, B1=260000000)
2020-04-17	Oliver Kruse	C-PRP	M3253/46452841/2044752054769/20662155049121/1127855884305312455278547118213151823780351/1412736827674756961653559679785169749565521810260070726493193 : E3B654EA30E91FEB PRP: Verified PRP without proof (small exponent)
2019-12-07	Niels_Mache_Nextcloud	C-PRP	M3253/46452841/2044752054769/20662155049121/1127855884305312455278547118213151823780351/1412736827674756961653559679785169749565521810260070726493193 : E3B654EA30E91FEB PRP: Verified PRP without proof (small exponent)
2019-12-06	Ryan Propper	F-ECM	Factor: 1412736827674756961653559679785169749565521810260070726493193 / (ECM curve 1, B1=260000000)
2018-11-20	oodaira	C-PRP	M3253/46452841/2044752054769/20662155049121/1127855884305312455278547118213151823780351 : E3B654EA30E91FEB PRP: Verified PRP without proof (small exponent)
2018-11-18	-Anonymous-	C-PRP	M3253/46452841/2044752054769/20662155049121/1127855884305312455278547118213151823780351 : E3B654EA30E91FEB PRP: Verified PRP without proof (small exponent)
2018-11-18	eteo	F-ECM	Factor: 1127855884305312455278547118213151823780351 / (ECM curve 1657, B1=11000000, B2=1100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3253/46452841/2044752054769/20662155049121 : 4AC2CC9DC18D17C5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3253/46452841/2044752054769/20662155049121 : 4AC2CC9DC18D17C5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3253/46452841/2044752054769/20662155049121 : 4AC2CC9DC18D17C5 PRP without proof (not generated)