2 313 403 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶²

Factored

Factor	Digits	Bits	Date
113319732553	12	36.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	105 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-11	Oliver Kruse	7170A3E1735379EE	1	0	1	3
Verified	PRP without proof (not generated)	2017-11-23	storm5510	7170A3E1735379EE	1	1490472	1	3

History

Date	User	Type	Result
2021-04-09	ViliamF	NF-PM1	B1=5000000, B2=505000000
2018-02-27	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2017-11-23	storm5510	C-PRP	M2313403/113319732553 : 7170A3E1735379EE
2017-10-11	Oliver Kruse	C-PRP	M2313403/113319732553 : 7170A3E1735379EE

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