7 753 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
4494272607751	13	42.0	old
42785191951755720116199539665236767	35	115.0	old
33791185160686027814981313458238158393	38	124.7	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	10244 / 16550

Estimated T-Level: 48.1 ⓘ

TF below 2^155 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	C6D0755D5C0BF851	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C6D0755D5C0BF851	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C6D0755D5C0BF851	3	4744	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C20BF4A3B05E68E5	3	1307	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	C20BF4A3B05E68E5	3	3302	5	3

History

Date	User	Type	Result
2025-05-27	masser	NF-PP1	Start=189/29, B1=1300000000, B2=1298700000000
2024-11-12	masser	NF-PM1	B1=50000000000, B2=64063491007015500
2024-02-03	Wentao Huang	C-PRP	M7753/4494272607751/33791185160686027814981313458238158393/42785191951755720116199539665236767 : C20BF4A3B05E68E5
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7753/4494272607751/42785191951755720116199539665236767/33791185160686027814981313458238158393 : C20BF4A3B05E68E5
2017-12-07	ATH	C-PRP	M7753/4494272607751/42785191951755720116199539665236767/33791185160686027814981313458238158393 : C6D0755D5C0BF851
2017-10-02	kkmrkkblmbrbk	C-PRP	M7753/4494272607751/42785191951755720116199539665236767/33791185160686027814981313458238158393 : C6D0755D5C0BF851
2017-09-21	Oliver Kruse	C-PRP	M7753/known_factors : C6D0755D5C0BF851