166 849 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
51915400049	11	35.6	old
27310536743351	14	44.6	2008-07-27 10:49:23
7883614273933351	16	52.8	2008-08-26 20:12:41
31879080221092583	17	54.8	2014-06-06 10:37:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	160 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	A10F505A4D0F4274	4	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	A10F505A4D0F4274	4	6100	1	3
Verified	2020-04-17	Oliver Kruse	C89ECB7876C6B26D	4	20984	5	3
Verified	2024-02-03	Wentao Huang	C89ECB7876C6B26D	4	153720	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	M166849/51915400049/27310536743351/7883614273933351/31879080221092583 : C89ECB7876C6B26D PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M166849/51915400049/27310536743351/7883614273933351/31879080221092583 : C89ECB7876C6B26D PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M166849/51915400049/27310536743351/7883614273933351/31879080221092583 : A10F505A4D0F4274 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M166849/known_factors : A10F505A4D0F4274 PRP without proof (not generated)
2017-05-01	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-06-06	TJAOI	F	Factor: 31879080221092583
2008-08-26	-Anonymous-	F-PM1	Factor: 7883614273933351
2008-07-27	J Feitsma	F	Factor: 27310536743351