7 829 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
39555975527	11	35.2	old
509107340269502308381783	24	78.8	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	8890 / 16550

Estimated T-Level: 47.7 ⓘ

TF below 2^153 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	26255EF41134C292	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	26255EF41134C292	2	1132	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AF06FAA11B544DA8	2	1811	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	AF06FAA11B544DA8	2	267	5	3

History

Date	User	Type	Result
2025-05-28	masser	NF-PP1	Start=176/47, B1=1300000000, B2=1298700000000
2024-12-11	yuriy_5-1	NF-PM1	B1=24000000000, B2=93848103835646160
2024-02-03	Wentao Huang	C-PRP	M7829/39555975527/509107340269502308381783 : AF06FAA11B544DA8
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7829/39555975527/509107340269502308381783 : AF06FAA11B544DA8
2017-10-12	kkmrkkblmbrbk	C-PRP	M7829/39555975527/509107340269502308381783 : 26255EF41134C292
2017-09-21	Oliver Kruse	C-PRP	M7829/39555975527/509107340269502308381783 : 26255EF41134C292
2017-09-21	Oliver Kruse	C-PRP	M7829/39555975527/509107340269502308381783 : 26255EF41134C292