1 567 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
29257873823	11	34.8	old
488519841428152561	18	58.8	old
31523570928926921025805379993	29	94.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	155973 / 194238

Estimated T-Level: 64.0 ⓘ

TF below 2^208 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	76F743E67F046EEB	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	76F743E67F046EEB	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	76F743E67F046EEB	3	577	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C18C266CC8A1BA53	3	740	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	C18C266CC8A1BA53	3	758	5	3

History

Date	User	Type	Result
2025-02-01	Jason Lynch	NF-PM1	B1=722437513000, B2=8526543203767038450
2021-12-17	Oliver Kruse	NF-PM1	B1=100000000000, B2=93518193139220850
2021-08-10	Jinyuan Wang	NF-PM1	B1=13000000000
2021-07-21	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1567/29257873823/488519841428152561/31523570928926921025805379993 : C18C266CC8A1BA53
2020-04-17	Oliver Kruse	C-PRP	M1567/29257873823/488519841428152561/31523570928926921025805379993 : C18C266CC8A1BA53
2017-12-07	ATH	C-PRP	M1567/29257873823/488519841428152561/31523570928926921025805379993 : 76F743E67F046EEB
2017-10-02	kkmrkkblmbrbk	C-PRP	M1567/29257873823/488519841428152561/31523570928926921025805379993 : 76F743E67F046EEB
2017-09-21	Oliver Kruse	C-PRP	M1567/known_factors : 76F743E67F046EEB
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12