5 953 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2694642773231	13	41.3	old
592558417873893058460567	24	79.0	old
1583237742596286368520363473057	31	100.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	5835 / 16550

Estimated T-Level: 46.8 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	24ED7770465CAF0E	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	24ED7770465CAF0E	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	24ED7770465CAF0E	3	2493	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7D15DB4397DF6F34	3	1849	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	7D15DB4397DF6F34	3	5332	5	3

History

Date	User	Type	Result
2025-05-25	masser	NF-PP1	Start=189/29, B1=1500000000, B2=1498500000000
2024-02-03	Wentao Huang	C-PRP	M5953/2694642773231/592558417873893058460567/1583237742596286368520363473057 : 7D15DB4397DF6F34
2023-07-25	-anonymous-	NF-PM1	B1=42000000000, B2=171618195782983950
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5953/2694642773231/592558417873893058460567/1583237742596286368520363473057 : 7D15DB4397DF6F34
2017-12-07	ATH	C-PRP	M5953/2694642773231/592558417873893058460567/1583237742596286368520363473057 : 24ED7770465CAF0E
2017-10-02	kkmrkkblmbrbk	C-PRP	M5953/2694642773231/592558417873893058460567/1583237742596286368520363473057 : 24ED7770465CAF0E
2017-09-21	Oliver Kruse	C-PRP	M5953/known_factors : 24ED7770465CAF0E