92 419 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
11568624261770037641	20	63.3	old
1700634613992834054581199473	28	90.5	2017-03-29 06:21:51
26566754812550500792150275766183	32	104.4	2021-04-29 20:38:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	553 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	AB3339E23081E574	2	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	AB3339E23081E574	2	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	AB3339E23081E574	2	43790	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	E0BBC2E676CC3EFA	2	76348	5	3
Verified	No proof (small exponent)	2021-04-30	LOBES	E0BBC2E676CC3EFA	3	8380	5	3

History

Date	User	Type	Result
2022-07-20	George Woltman	NF-PM1	B1=1000000000, B2=72340556037750
2021-04-30	LOBES	C-PRP	M92419/11568624261770037641/1700634613992834054581199473/26566754812550500792150275766183 : E0BBC2E676CC3EFA
2021-04-29	nordi	F-PP1	Factor: 26566754812550500792150275766183 / Start=6/5, B1=40000000, B2=5240000000
2021-04-24	nordi	NF-PP1	Start=2/7, B1=40000000, B2=5240000000
2020-04-17	Oliver Kruse	C-PRP	M92419/11568624261770037641/1700634613992834054581199473 : E0BBC2E676CC3EFA
2017-12-07	ATH	C-PRP	M92419/11568624261770037641/1700634613992834054581199473 : AB3339E23081E574
2017-10-02	kkmrkkblmbrbk	C-PRP	M92419/11568624261770037641/1700634613992834054581199473 : AB3339E23081E574
2017-09-21	Oliver Kruse	C-PRP	M92419/known_factors : AB3339E23081E574
2017-09-21	Oliver Kruse	C-PRP	M92419/known_factors : AB3339E23081E574
2017-03-29	kkmrkkblmbrbk	F-ECM	Factor: 1700634613992834054581199473
2016-12-17	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
1999-10-29	-anonymous-	NF	no factor TF: 52-53