2 269 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5198395892876421104415109549087087419559080537214372111	55	181.8	2009-04-21 13:55:20

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	62803 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	4B20	0
Verified (Factored)		George Woltman	9F5B4420360A4B20	0
Verified (Factored)		Brian J. Beesley	9F5B4420360A4B20	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	1B64456173A50453	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	1B64456173A50453	1	0	1	3
Verified	2017-12-07	ATH	1B64456173A50453	1	2086	1	3
Verified	2020-04-17	Oliver Kruse	86E8DF34AB1B7FB9	1	2023	5	3
Verified	2024-02-03	Wentao Huang	86E8DF34AB1B7FB9	1	1980	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 86E8DF34AB1B7FB9 PRP: Verified PRP without proof (small exponent)
2022-11-09	BloodIce	NF-PM1	B1=1000000000000, B2=1000611346835100
2022-10-03	BloodIce	NF-PM1	B1=100000000000, B2=15660862176960
2022-08-29	BloodIce	NF-PM1	B1=10000000000, B2=6556348965296130
2020-09-24	Bruno Victal	NF-PM1	B1=100000000000, B2=493027485552607806
2020-04-17	Oliver Kruse	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 86E8DF34AB1B7FB9 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 1B64456173A50453 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 1B64456173A50453 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2269/known_factors : 1B64456173A50453 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=10000000000, B2=500000000000, E=12
2009-04-21	eteo	F-ECM	Factor: 5198395892876421104415109549087087419559080537214372111