169 069 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
1577787952199247726997858408231	31	100.3	2016-01-02 05:18:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	208 / 1566

Estimated T-Level: 30.7 ⓘ

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	31216E28	0
Verified (Factored)		Herb Savage	C69E857131216E28	0
Verified (Factored)		Will Edgington	C69E857131216E28	0
Verified (Factored)		Eivind Triel	C69E857131216E28	139385

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	B208A5B6003D737C	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B208A5B6003D737C	1	28893	1	3
Verified	2020-04-17	Oliver Kruse	1D3F98826898A459	1	7343	5	3
Verified	2024-02-03	Wentao Huang	1D3F98826898A459	1	26987	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M169069/1577787952199247726997858408231 : 1D3F98826898A459 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M169069/1577787952199247726997858408231 : 1D3F98826898A459 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M169069/1577787952199247726997858408231 : B208A5B6003D737C PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M169069/1577787952199247726997858408231 : B208A5B6003D737C PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M169069/1577787952199247726997858408231 : B208A5B6003D737C PRP without proof (not generated)
2016-02-23	Mark Rose	NF	no factor from 2^57 to 2^58
2016-01-02	bam	F-ECM	Factor: 1577787952199247726997858408231 / (ECM curve 3, B1=1000000, B2=100000000)
2015-08-13	NR	NF	no factor from 2^61 to 2^62
2013-08-22	lycorn	NF	no factor from 2^60 to 2^61
2013-08-05	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-27	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-20	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59