297 907 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
190733346521619495086057	24	77.3	2009-06-18 13:30:22
661657826665153603306009	24	79.1	2017-10-20 14:52:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	192 / 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)		David Slowinski	3428	0
Verified (Factored)		Unknown	3428	0
Verified (Factored)		Guillermo Ballester Valor	45F92717396A3428	0
Verified (Factored)		Eivind Triel	45F92717396A3428	155935
Verified (Factored)	2001-11-24	Eugene Gogol'	45F92717396A3428	49292

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	9AD9545DE833DAE8	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	9AD9545DE833DAE8	1	110411	1	3
Verified	2017-10-21	Oliver Kruse	862263984379059D	2	65274	5	3
Verified	2017-10-21	Yaroslav Berezhko	862263984379059D	2	227814	5	3
Verified	2017-10-21	kkmrkkblmbrbk	862263984379059D	2	209649	5	3

History

Date	User	Type	Result
2024-12-02	yuriy_5-1	NF-PM1	B1=27407444, B2=6679632809850
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2021-05-01	nordi	NF-PP1	Start=6/5, B1=10000000, B2=500000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=10000000, B2=500000000
2017-10-21	kkmrkkblmbrbk	C-PRP	M297907/190733346521619495086057/661657826665153603306009 : 862263984379059D PRP: Verified PRP without proof (small exponent)
2017-10-21	Yaroslav Berezhko	C-PRP	M297907/190733346521619495086057/661657826665153603306009 : 862263984379059D PRP: Verified PRP without proof (small exponent)
2017-10-21	Oliver Kruse	C-PRP	M297907/190733346521619495086057/661657826665153603306009 : 862263984379059D PRP: Verified PRP without proof (small exponent)
2017-10-20	TJAOI	F-ECM	Factor: 661657826665153603306009 / (ECM curve 7, B1=250000, B2=25000000)
2017-10-12	Oliver Kruse	C-PRP	M297907/190733346521619495086057 : 9AD9545DE833DAE8 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M297907/190733346521619495086057 : 9AD9545DE833DAE8 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M297907/190733346521619495086057 : 9AD9545DE833DAE8 PRP without proof (not generated)
2009-06-18	Sturle Sunde	F-ECM	Factor: 190733346521619495086057
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-02	Sturle Sunde	NF	no factor from 2^58 to 2^59