10 457 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
62743	5	15.9	old
313711	6	18.3	2008-08-26 19:58:31
31794194791	11	34.9	2008-08-26 19:58:31
3679367366281639	16	51.7	2008-08-26 19:58:31
207115033362137839	18	57.5	2008-08-29 02:24:25
86165904319729377585263298592228913363740441	44	146.0	2025-05-26 17:28:17

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	3290 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	2508E3E4B681C51A	5	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	2508E3E4B681C51A	5	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2508E3E4B681C51A	5	544	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	5E8F64152CB76423	5	8714	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5E8F64152CB76423	5	2927	5	3
Verified	No proof (small exponent)	2025-05-26	nordi	5E8F64152CB76423	6	10312	5	3

History

Date	User	Type	Result
2025-05-26	nordi	C-PRP	M10457/62743/313711/31794194791/3679367366281639/207115033362137839/86165904319729377585263298592228913363740441 : 5E8F64152CB76423
2025-05-26	nordi	F-ECM	Factor: 86165904319729377585263298592228913363740441 / ECM curve 364, B1=44000000, B2=1117403522235, Edwards Sigma=2035190479889077
2025-02-26	masser	NF-PP1	Start=166/43, B1=640000000, B2=639360000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10457/207115033362137839/313711/31794194791/3679367366281639/62743 : 5E8F64152CB76423
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10457/62743/313711/31794194791/3679367366281639/207115033362137839 : 5E8F64152CB76423
2017-10-12	kkmrkkblmbrbk	C-PRP	M10457/62743/313711/31794194791/3679367366281639/207115033362137839 : 2508E3E4B681C51A
2017-10-02	kkmrkkblmbrbk	C-PRP	M10457/62743/313711/31794194791/3679367366281639/207115033362137839 : 2508E3E4B681C51A
2017-09-21	Oliver Kruse	C-PRP	M10457/known_factors : 2508E3E4B681C51A
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 207115033362137839
2008-08-26	-anonymous-	F-PM1	Factor: 3679367366281639
2008-08-26	-anonymous-	F	Factor: 31794194791
2008-08-26	-anonymous-	F	Factor: 313711