109 897 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2415975649	10	31.2	old
161971253863	12	37.2	2008-07-26 09:17:11
200768631361	12	37.5	2008-07-26 09:17:11
4079082116041	13	41.9	2008-07-26 09:17:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	730 / 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)	2017-09-21	Oliver Kruse	3494F2B8CE17021C	4	0	1	3
Verified	No proof (small exponent)	2017-09-22	Oliver Kruse	3494F2B8CE17021C	4	0	1	3
Verified	No proof (small exponent)	2017-11-06	kkmrkkblmbrbk	3494F2B8CE17021C	4	22641	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5833BF048FF39363	4	44519	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	5833BF048FF39363	4	60957	5	3
Verified	Certified Good	2022-11-11	LordJulius	5833BF048FF39363	4	85727	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=893574000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109897/2415975649/161971253863/200768631361/4079082116041 : 5833BF048FF39363 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: 58-59
2022-05-08	LordJulius	NF	no factor TF: 59-60
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109897/2415975649/161971253863/200768631361/4079082116041 : 5833BF048FF39363 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109897/2415975649/161971253863/200768631361/4079082116041 : 5833BF048FF39363
2017-11-06	kkmrkkblmbrbk	C-PRP	M109897/2415975649/161971253863/200768631361/4079082116041 : 3494F2B8CE17021C
2017-09-21	Oliver Kruse	C-PRP	M109897/2415975649/161971253863/200768631361/4079082116041 : 3494F2B8CE17021C
2017-09-21	Oliver Kruse	C-PRP	M109897/2415975649/161971253863/200768631361/4079082116041 : 3494F2B8CE17021C
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 4079082116041
2008-07-26	J Feitsma	F	Factor: 200768631361
2008-07-26	J Feitsma	F	Factor: 161971253863