28 411 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3409321	7	21.7	old
20910497	8	24.3	2008-08-26 19:59:19
177739217	9	27.4	2008-08-26 19:59:19
375536599	9	28.5	2008-08-26 19:59:19
145954745454377	15	47.1	2008-08-26 19:59:19
259400137814578063	18	57.8	2009-04-04 14:31:38
73527519400535957290573035651975101657	38	125.8	2023-02-18 16:55:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1385 / 4588

Estimated T-Level: 36.5 ⓘ

TF below 2^116 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	EF54BE3D63355517	6	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	EF54BE3D63355517	6	0	1	3
Verified (Factored)	2017-12-07	ATH	EF54BE3D63355517	6	7943	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	906DCC2B230E92C4	6	27763	5	3
Verified	2023-02-18	nordi	906DCC2B230E92C4	7	10748	5	3

P-1 factors

Date	Factor	B1	B2
2023-02-18	73527519400535957290573035651975101657	3000000000	925584566816910

History

Date	User	Type	Result
2023-02-18	nordi	C-PRP	M28411/3409321/20910497/177739217/375536599/145954745454377/259400137814578063/73527519400535957290573035651975101657 : 906DCC2B230E92C4 PRP: Verified PRP without proof (small exponent)
2023-02-18	nordi	F-PM1	Factor: 73527519400535957290573035651975101657 / (P-1, B1=3000000000, B2=925584566816910)
2022-10-12	nordi	NF-PM1	B1=3000000000
2020-04-17	Oliver Kruse	C-PRP	M28411/3409321/20910497/177739217/375536599/145954745454377/259400137814578063 : 906DCC2B230E92C4 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M28411/3409321/20910497/177739217/375536599/145954745454377/259400137814578063 : EF54BE3D63355517 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M28411/3409321/20910497/177739217/375536599/145954745454377/259400137814578063 : EF54BE3D63355517 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M28411/3409321/20910497/177739217/375536599/145954745454377/259400137814578063 : EF54BE3D63355517 PRP without proof (not generated)
2016-12-28	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-04-04	Matthias Wurtinger	F-ECM	Factor: 259400137814578063
2008-08-26	-Anonymous-	F	Factor: 145954745454377
2008-08-26	-Anonymous-	F	Factor: 375536599
2008-08-26	-Anonymous-	F	Factor: 177739217
2008-08-26	-Anonymous-	F	Factor: 20910497