91 463 Exponent Status

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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
182927	6	17.5	old
709973915086262417	18	59.3	2008-08-26 20:11:38
1572636145425012277977176309767	31	100.3	2019-02-05 02:12:17
7918747359850115460397091936427583471385090913607	49	162.4	2022-07-20 16:11:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	745 / 4588

Estimated T-Level: 35.8 ⓘ

TF below 2^114 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	FAA2C79E488BC609	2	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	FAA2C79E488BC609	2	88873	1	3
Verified (Factored)	2019-02-05	J.R. Allen	0A5496D05F56C733	3	14720	5	3
Verified (Factored)	2019-02-06	kkmrkkblmbrbk	0A5496D05F56C733	3	50407	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	0A5496D05F56C733	1	69203	5	3
Verified	2022-07-20	George Woltman	0A5496D05F56C733	4	53305	5	3

P-1 factors

Date	Factor	B1	B2
2022-07-20	7918747359850115460397091936427583471385090913607	1000000000	70552596864750

History

Date	User	Type	Result
2022-07-20	George Woltman	C-PRP	M91463/182927/709973915086262417/1572636145425012277977176309767/7918747359850115460397091936427583471385090913607 : 0A5496D05F56C733 PRP: Verified PRP without proof (small exponent)
2022-07-20	George Woltman	F-PM1	Factor: 7918747359850115460397091936427583471385090913607 / (P-1, B1=1000000000, B2=70552596864750)
2022-05-12	Jorge Coveiro	C-PRP	M91463/182927 : 0A5496D05F56C733 PRP: Verified PRP without proof (small exponent)
2021-04-30	nordi	NF-PP1	Start=6/5, B1=40000000, B2=5240000000
2021-04-24	nordi	NF-PP1	Start=2/7, B1=40000000, B2=5240000000
2019-02-06	kkmrkkblmbrbk	C-PRP	M91463/182927/709973915086262417/1572636145425012277977176309767 : 0A5496D05F56C733 PRP: Verified PRP without proof (small exponent)
2019-02-05	J.R. Allen	C-PRP	M91463/182927/709973915086262417/1572636145425012277977176309767 : 0A5496D05F56C733 PRP: Verified PRP without proof (small exponent)
2019-02-05	Niels_Mache_Nextcloud	F-ECM	Factor: 1572636145425012277977176309767 / (ECM curve 3, B1=1000000, B2=100000000)
2017-10-13	kkmrkkblmbrbk	C-PRP	M91463/182927/709973915086262417 : FAA2C79E488BC609 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M91463/182927/709973915086262417 : FAA2C79E488BC609 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M91463/182927/709973915086262417 : FAA2C79E488BC609 PRP without proof (not generated)
2016-12-12	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F-ECM	Factor: 709973915086262417