21 727 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
7821721	7	22.9	old
29939807	8	24.8	2008-08-26 19:59:03
10857104943694591	17	53.3	2008-08-29 02:24:43
63018334040195844306902306812759	32	105.6	2009-06-03 01:40:45
18105224371277111991431159178995561	35	113.8	2017-10-12 14:49:09
335961147640650881548773419511942988351	39	128.0	2021-11-02 16:41:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	940 / 4588

Estimated T-Level: 36.0 ⓘ

TF below 2^115 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	D8A9C29B7907D526	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	D8A9C29B7907D526	4	0	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	4304B5877CBB0305	5	1599	5	3
Verified (Factored)	2017-10-13	Oliver Kruse	AB31ED5F2C972A6A	5	1317	1	3
Verified (Factored)	2017-10-13	Oliver Kruse	AB31ED5F2C972A6A	5	1611	1	3
Verified (Factored)	2017-10-13	Yaroslav Berezhko	AB31ED5F2C972A6A	5	0	1	3
Verified (Factored)	2017-11-01	kkmrkkblmbrbk	4304B5877CBB0305	5	3540	5	3
Verified	2021-11-02	nordi	4304B5877CBB0305	6	3630	5	3

History

Date	User	Type	Result
2023-09-12	nordi	NF-PM1	B1=12000000000, B2=12035961634446750
2023-04-11	nordi	NF-PM1	B1=12000000000
2021-11-02	nordi	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759/18105224371277111991431159178995561/335961147640650881548773419511942988351 : 4304B5877CBB0305 PRP: Verified PRP without proof (small exponent)
2021-11-02	nordi	F-ECM	Factor: 335961147640650881548773419511942988351 / (ECM curve 57, B1=3000000, B2=300000000, Sigma=5305209475912025)
2021-06-28	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2017-11-01	kkmrkkblmbrbk	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759/18105224371277111991431159178995561 : 4304B5877CBB0305 PRP: Verified PRP without proof (small exponent)
2017-10-13	Yaroslav Berezhko	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759/18105224371277111991431159178995561 : AB31ED5F2C972A6A PRP: Verified PRP without proof (not generated)
2017-10-13	Oliver Kruse	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759/18105224371277111991431159178995561 : AB31ED5F2C972A6A PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759/18105224371277111991431159178995561 : AB31ED5F2C972A6A PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759/18105224371277111991431159178995561 : 4304B5877CBB0305 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	F-ECM	Factor: 18105224371277111991431159178995561 / (ECM curve 408, B1=1000000, B2=100000000)
2017-10-02	kkmrkkblmbrbk	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759 : D8A9C29B7907D526 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759 : D8A9C29B7907D526 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21727/7821721/29939807/10857104943694591/63018334040195844306902306812759 : D8A9C29B7907D526 PRP without proof (not generated)
2016-11-18	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-06-03	-Anonymous-	F-ECM	Factor: 63018334040195844306902306812759
2008-08-29	-Anonymous-	F	Factor: 10857104943694591
2008-08-26	-Anonymous-	F	Factor: 29939807