109 891 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
256192185031	12	37.9	old
1562667655912176276819743	25	80.4	2011-01-05 17:51:50
100043543877752282418959496217	30	96.3	2018-10-02 04:03:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	733 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 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	A7D26F57375C7943	2	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	A7D26F57375C7943	2	48697	1	3
Verified	No proof (small exponent)	2018-10-02	Chang Chia-Tche	1D6E294BFF3670B5	3	44098	5	3
Verified	No proof (small exponent)	2018-10-02	Oliver Kruse	1D6E294BFF3670B5	3	84958	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	1D6E294BFF3670B5	3	98425	5	3
Verified	Certified Good	2022-11-11	LordJulius	1D6E294BFF3670B5	3	34652	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894943000, B2=137281887853110
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109891/256192185031/1562667655912176276819743/100043543877752282418959496217 : 1D6E294BFF3670B5 Proof Not Uploaded Proof Power: 5
2022-05-08	LordJulius	NF	no factor TF: 62-63
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: 60-61
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-05-08	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109891/256192185031/1562667655912176276819743/100043543877752282418959496217 : 1D6E294BFF3670B5 Proof Not Uploaded Proof Power: 5
2018-10-02	Oliver Kruse	C-PRP	M109891/256192185031/1562667655912176276819743/100043543877752282418959496217 : 1D6E294BFF3670B5
2018-10-02	Chang Chia-Tche	C-PRP	M109891/256192185031/1562667655912176276819743/100043543877752282418959496217 : 1D6E294BFF3670B5
2018-10-02	Niels_Mache_Nextcloud	F-ECM	Factor: 100043543877752282418959496217
2017-10-13	kkmrkkblmbrbk	C-PRP	M109891/256192185031/1562667655912176276819743 : A7D26F57375C7943
2017-09-21	Oliver Kruse	C-PRP	M109891/256192185031/1562667655912176276819743 : A7D26F57375C7943
2017-09-21	Oliver Kruse	C-PRP	M109891/256192185031/1562667655912176276819743 : A7D26F57375C7943
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2011-01-05	Rob_Dee	F-ECM	Factor: 1562667655912176276819743