188 801 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
135371094234811196686828071020159	33	106.7	2010-02-15 15:13:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	175 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	1842E27D	0
Verified (Factored)		Laurent Hodges	D8C4D759D842E27D	0
Verified (Factored)		Brian J. Beesley	D8C4D759D842E27D	0
Verified (Factored)		Eivind Triel	D8C4D759D842E27D	171925

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	4F6AE5195C5BC18B	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	4F6AE5195C5BC18B	1	16433	1	3
Verified	2020-04-17	Oliver Kruse	81F317E87B43D532	1	155065	5	3
Verified	2023-08-24	USAFSS	81F317E87B43D532	1	15710	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M188801/135371094234811196686828071020159 : 81F317E87B43D532 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M188801/135371094234811196686828071020159 : 81F317E87B43D532 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M188801/135371094234811196686828071020159 : 4F6AE5195C5BC18B PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M188801/135371094234811196686828071020159 : 4F6AE5195C5BC18B PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M188801/135371094234811196686828071020159 : 4F6AE5195C5BC18B PRP without proof (not generated)
2017-07-21	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-15	-Anonymous-	F-ECM	Factor: 135371094234811196686828071020159
2009-01-29	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59