7 823 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
15647	5	13.9	old
35370380236001	14	45.0	old
53386764620646906486511441115731114087	38	125.3	old

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	9539 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	14635597F32DCFE0	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	14635597F32DCFE0	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	14635597F32DCFE0	3	3543	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1529AD8030894C39	3	5375	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	1529AD8030894C39	1	6286	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	1529AD8030894C39	3	4609	5	3

History

Date	User	Type	Result
2025-05-29	masser	NF-PP1	Start=129/47, B1=1300000000, B2=1298700000000
2024-12-11	yuriy_5-1	NF-PM1	B1=24000000000, B2=93848103835646160
2024-02-03	Wentao Huang	C-PRP	M7823/15647/35370380236001/53386764620646906486511441115731114087 : 1529AD8030894C39
2022-05-12	Jorge Coveiro	C-PRP	M7823/15647 : 1529AD8030894C39
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7823/15647/35370380236001/53386764620646906486511441115731114087 : 1529AD8030894C39
2017-12-07	ATH	C-PRP	M7823/15647/35370380236001/53386764620646906486511441115731114087 : 14635597F32DCFE0
2017-10-02	kkmrkkblmbrbk	C-PRP	M7823/15647/35370380236001/53386764620646906486511441115731114087 : 14635597F32DCFE0
2017-09-21	Oliver Kruse	C-PRP	M7823/known_factors : 14635597F32DCFE0