109 013 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
10465249	8	23.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	666 / 1566

Estimated T-Level: 32.1 ⓘ

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	F5A296D97B5E5D25	1	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	F5A296D97B5E5D25	1	100414	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1F1CAFE2AFB06F2B	1	73322	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	1F1CAFE2AFB06F2B	1	29161	5	3
Verified	Certified Good	2022-11-08	LordJulius	1F1CAFE2AFB06F2B	1	31628	5	3

History

Date	User	Type	Result
2025-09-01	masser	NF-PM1	B1=380000000, B2=43469437491480
2025-01-09	yuriy_5-1	NF-PM1	B1=24090130, B2=227952474750
2022-11-08	Will K	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109013/10465249 : 1F1CAFE2AFB06F2B 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	M109013/10465249 : 1F1CAFE2AFB06F2B Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109013/10465249 : 1F1CAFE2AFB06F2B
2017-10-13	kkmrkkblmbrbk	C-PRP	M109013/10465249 : F5A296D97B5E5D25
2017-09-22	Oliver Kruse	C-PRP	M109013/10465249 : F5A296D97B5E5D25
2017-09-21	Oliver Kruse	C-PRP	M109013/10465249 : F5A296D97B5E5D25
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12