109 913 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
88241453791	11	36.4	old
110536919373251125697	21	66.6	2008-12-02 18:32:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	724 / 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
Verified	No proof (small exponent)	2017-09-22	Oliver Kruse	C0E4BE76CCC66D79	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	C0E4BE76CCC66D79	2	8681	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	475BBAA92DB5497C	2	18115	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	475BBAA92DB5497C	2	3349	5	3
Verified	Certified Good	2022-11-11	LordJulius	475BBAA92DB5497C	2	17835	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=894224000, B2=132294088246320
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	Tercariol, C. A. S.	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109913/88241453791/110536919373251125697 : 475BBAA92DB5497C 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: 60-61
2022-05-08	LordJulius	NF	no factor TF: 59-60
2022-05-08	LordJulius	NF	no factor TF: 58-59
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109913/88241453791/110536919373251125697 : 475BBAA92DB5497C Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109913/88241453791/110536919373251125697 : 475BBAA92DB5497C
2017-10-13	kkmrkkblmbrbk	C-PRP	M109913/88241453791/110536919373251125697 : C0E4BE76CCC66D79
2017-09-22	Oliver Kruse	C-PRP	M109913/88241453791/110536919373251125697 : C0E4BE76CCC66D79
2017-09-21	Oliver Kruse	C-PRP	M109913/88241453791/110536919373251125697 : C0E4BE76CCC66D79
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-12-02	Matthias Wurtinger	F-ECM	Factor: 110536919373251125697