5 623 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1135847	7	20.1	old
1324014073	10	30.3	old
689409316847639	15	49.3	old
16189738902455719	17	53.8	old
1637178624368852117575191335684997539705871154225631	52	170.1	2024-02-01 13:23:42

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	6214 / 16550

Estimated T-Level: 46.9 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	B50425E81BC7D8A5	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B50425E81BC7D8A5	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	B50425E81BC7D8A5	4	3783	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	B73A7946ACA946A2	4	3928	5	3
Verified	No proof (small exponent)	2024-02-01	Kevin_9611	B73A7946ACA946A2	5	4970	5	3
Verified	No proof (small exponent)	2024-02-02	Ryan Propper	B73A7946ACA946A2	5	2794	5	3

History

Date	User	Type	Result
2025-05-17	masser	NF-PP1	Start=195/61, B1=2100000000, B2=2097900000000
2024-02-02	Ryan Propper	C-PRP	M5623/1135847/1324014073/689409316847639/16189738902455719/1637178624368852117575191335684997539705871154225631 : B73A7946ACA946A2
2024-02-01	Kevin_9611	C-PRP	M5623/1135847/1324014073/689409316847639/16189738902455719/1637178624368852117575191335684997539705871154225631 : B73A7946ACA946A2
2024-02-01	Ryan Propper	F-ECM	Factor: 1637178624368852117575191335684997539705871154225631 / ECM curve 5, B1=110000000, B2=2483118087450, Edwards Sigma=4424209212246768
2023-07-15	-anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-11-04	123456789123456789	F-ECM	Factor: 24347382654125138717847895208489 / ECM curve 1, B1=12345678, B2=12345678901, Montgomery Sigma=3722278938361550
2020-11-04	123456789123456789	F-ECM	Factor: 1135847 / ECM curve 1, B1=100000, B2=1000000000, Montgomery Sigma=1800364037449483
2020-04-17	Oliver Kruse	C-PRP	M5623/1135847/1324014073/689409316847639/16189738902455719 : B73A7946ACA946A2
2017-12-07	ATH	C-PRP	M5623/1135847/1324014073/689409316847639/16189738902455719 : B50425E81BC7D8A5
2017-10-02	kkmrkkblmbrbk	C-PRP	M5623/1135847/1324014073/689409316847639/16189738902455719 : B50425E81BC7D8A5
2017-09-21	Oliver Kruse	C-PRP	M5623/known_factors : B50425E81BC7D8A5