109 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
15991151193791	14	43.9	old
292852557931213552471	21	68.0	2010-03-20 18:18:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	752 / 1566

Estimated T-Level: 32.4 ⓘ

TF below 2^103 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	EFFB812C80C94800	2	0	1	3
Verified	No proof (small exponent)	2017-09-22	Oliver Kruse	EFFB812C80C94800	2	0	1	3
Verified	No proof (small exponent)	2017-11-06	kkmrkkblmbrbk	EFFB812C80C94800	2	21719	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AAFA58265F25C87C	2	40420	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	AAFA58265F25C87C	2	27824	5	3
Verified	Certified Good	2022-11-11	LordJulius	AAFA58265F25C87C	2	68215	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=420971000, B2=229330377155880
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	x-s-y-	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109451/15991151193791/292852557931213552471 : AAFA58265F25C87C Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109451/15991151193791/292852557931213552471 : AAFA58265F25C87C Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109451/15991151193791/292852557931213552471 : AAFA58265F25C87C
2017-11-06	kkmrkkblmbrbk	C-PRP	M109451/15991151193791/292852557931213552471 : EFFB812C80C94800
2017-09-22	Oliver Kruse	C-PRP	M109451/15991151193791/292852557931213552471 : EFFB812C80C94800
2017-09-21	Oliver Kruse	C-PRP	M109451/15991151193791/292852557931213552471 : EFFB812C80C94800
2017-09-21	Oliver Kruse	C-PRP	M109451/15991151193791/292852557931213552471 : EFFB812C80C94800
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-03-20	Rob_Dee	F-ECM	Factor: 292852557931213552471