22 153 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
456297386516527	15	48.7	old
692762093172667176121827106446479	33	109.1	2018-06-14 16:22:17
92527800271671276011044097252768311607921	41	136.1	2023-01-30 08:01:41
7971184011289055606859492385467709684425873409	46	152.5	2016-12-23 16:47:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1352 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	33F581C06E4CEFD0	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	33F581C06E4CEFD0	2	0	1	3
Verified (Factored)	2017-12-07	ATH	33F581C06E4CEFD0	2	9696	1	3
Verified (Factored)	2018-06-15	ANONYMOUS	CA05F3BC5BF02941	3	2224	5	3
Verified (Factored)	2018-06-27	Oliver Kruse	CA05F3BC5BF02941	3	10600	5	3
Verified	2023-01-30	fbaur	CA05F3BC5BF02941	4	6889	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-23	7971184011289055606859492385467709684425873409	500000000	18755543263242

History

Date	User	Type	Result
2023-12-21	nordi	NF-PM1	B1=12000000000, B2=3612207426077250
2023-04-28	nordi	NF-PM1	B1=12000000000
2023-01-30	fbaur	C-PRP	M22153/456297386516527/692762093172667176121827106446479/7971184011289055606859492385467709684425873409/92527800271671276011044097252768311607921 : CA05F3BC5BF02941 PRP: Verified PRP without proof (small exponent)
2023-01-30	fbaur	F-ECM	Factor: 92527800271671276011044097252768311607921 / (ECM curve 80, B1=3000000, B2=11486324850, Sigma=6565768060117265)
2021-06-28	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2018-06-27	Oliver Kruse	C-PRP	M22153/456297386516527/7971184011289055606859492385467709684425873409/692762093172667176121827106446479 : CA05F3BC5BF02941 PRP: Verified PRP without proof (small exponent)
2018-06-15	ANONYMOUS	C-PRP	M22153/456297386516527/692762093172667176121827106446479/7971184011289055606859492385467709684425873409 : CA05F3BC5BF02941 PRP: Verified PRP without proof (small exponent)
2018-06-14	kkmrkkblmbrbk	F-ECM	Factor: 692762093172667176121827106446479 / (ECM curve 516, B1=1000000, B2=100000000)
2017-12-07	ATH	C-PRP	M22153/456297386516527/7971184011289055606859492385467709684425873409 : 33F581C06E4CEFD0 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M22153/456297386516527/7971184011289055606859492385467709684425873409 : 33F581C06E4CEFD0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22153/456297386516527/7971184011289055606859492385467709684425873409 : 33F581C06E4CEFD0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22153/456297386516527/7971184011289055606859492385467709684425873409 : 33F581C06E4CEFD0 PRP without proof (not generated)
2016-12-23	kkmrkkblmbrbk	F-PM1	Factor: 7971184011289055606859492385467709684425873409 / (P-1, B1=500000000, B2=18755543263242)
2016-11-22	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12