4 603 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
626009	6	19.3	old
3726574982173446978540513476603491368830114139439	49	161.4	2021-03-30 03:51:46

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	16550 / 16550
55	110000000	13585 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 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	C4BEA94D3F1FE1ED	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	C4BEA94D3F1FE1ED	1	535	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	E353A79710A0EBEE	1	216	5	3
Verified	No proof (small exponent)	2021-03-30	mnd9	E353A79710A0EBEE	2	309	5	3
Verified	No proof (small exponent)	2021-03-30	XZT	E353A79710A0EBEE	2	4530	5	3

History

Date	User	Type	Result
2025-05-18	masser	NF-PP1	Start=116/47, B1=2100000000, B2=2097900000000
2023-05-26	-anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-03-30	XZT	C-PRP	M4603/626009/3726574982173446978540513476603491368830114139439 : E353A79710A0EBEE
2021-03-30	mnd9	C-PRP	M4603/626009/3726574982173446978540513476603491368830114139439 : E353A79710A0EBEE
2021-03-30	Ryan Propper	F-ECM	Factor: 3726574982173446978540513476603491368830114139439
2020-04-17	Oliver Kruse	C-PRP	M4603/626009 : E353A79710A0EBEE
2017-10-12	kkmrkkblmbrbk	C-PRP	M4603/626009 : C4BEA94D3F1FE1ED
2017-09-21	Oliver Kruse	C-PRP	M4603/626009 : C4BEA94D3F1FE1ED
2017-09-21	Oliver Kruse	C-PRP	M4603/626009 : C4BEA94D3F1FE1ED