27 143 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
54287	5	15.7	old
868577	6	19.7	2008-08-26 19:59:15
5211457	7	22.3	2008-08-26 19:59:15
44948809	8	25.4	2008-08-26 19:59:15
152000801	9	27.2	2008-08-26 19:59:15
214809703	9	27.7	2008-08-26 19:59:15
1780658591839	13	40.7	2008-08-26 19:59:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1691 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	F12D0DBF7972EC3D	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F12D0DBF7972EC3D	7	0	1	3
Verified	2017-12-07	ATH	F12D0DBF7972EC3D	7	19444	1	3
Unverified	2020-04-17	Oliver Kruse	A85FE2DAE21D94__	7	20525	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	A85FE2DAE21D9425	1	10629	5	3

History

Date	User	Type	Result
2023-03-11	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2022-12-26	nordi	NF-PM1	B1=5000000000
2022-05-12	Jorge Coveiro	C-PRP	M27143/54287 : A85FE2DAE21D9425 PRP: Verified (Factored) PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M27143/54287/868577/5211457/44948809/152000801/214809703/1780658591839 : A85FE2DAE21D9425 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M27143/54287/868577/5211457/44948809/152000801/214809703/1780658591839 : F12D0DBF7972EC3D PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M27143/54287/868577/5211457/44948809/152000801/214809703/1780658591839 : F12D0DBF7972EC3D PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27143/54287/868577/5211457/44948809/152000801/214809703/1780658591839 : F12D0DBF7972EC3D PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27143/54287/868577/5211457/44948809/152000801/214809703/1780658591839 : F12D0DBF7972EC3D PRP without proof (not generated)
2016-12-21	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 1780658591839
2008-08-26	-Anonymous-	F	Factor: 214809703
2008-08-26	-Anonymous-	F	Factor: 152000801
2008-08-26	-Anonymous-	F	Factor: 44948809
2008-08-26	-Anonymous-	F	Factor: 5211457
2008-08-26	-Anonymous-	F	Factor: 868577