109 987 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
463728937617848017	18	58.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	549 / 1566

Estimated T-Level: 31.8 ⓘ

TF below 2^100 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	20E3173DCBCEED8F	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	20E3173DCBCEED8F	1	13562	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E8404624EAACB50A	1	108782	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	E8404624EAACB50A	1	29515	5	3
Verified	Certified Good	2022-11-11	LordJulius	E8404624EAACB50A	1	48177	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=412970000, B2=229239762651900
2025-12-18	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	mrk74	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109987/463728937617848017 : E8404624EAACB50A Proof Not Uploaded Proof Power: 5
2022-05-08	LordJulius	NF	no factor TF: 62-63
2022-05-08	LordJulius	NF	no factor TF: 60-61
2022-05-08	LordJulius	NF	no factor TF: 61-62
2022-05-08	LordJulius	NF	no factor TF: 59-60
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-05-08	LordJulius	NF	no factor TF: 1-57
2022-04-15	LordJulius	C-PRP	M109987/463728937617848017 : E8404624EAACB50A Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109987/463728937617848017 : E8404624EAACB50A
2018-10-26	J.R. Allen	NF	no factor TF: 1-57
2017-10-13	kkmrkkblmbrbk	C-PRP	M109987/463728937617848017 : 20E3173DCBCEED8F
2017-09-21	Oliver Kruse	C-PRP	M109987/463728937617848017 : 20E3173DCBCEED8F
2017-09-21	Oliver Kruse	C-PRP	M109987/463728937617848017 : 20E3173DCBCEED8F
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
1999-09-14	-anonymous-	NF	no factor TF: 52-53