3 527 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
63487	5	16.0	old
21255739256743241075416068643686404008919	41	134.0	2018-11-01 11:54:48

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	16550 / 16550
55	110000000	14610 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	44A37C9436CA2DBF	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	44A37C9436CA2DBF	1	1995	1	3
Verified	No proof (small exponent)	2018-11-01	rucio	230D36BA001C0F30	2	2808	5	3
Verified	No proof (small exponent)	2018-11-01	ATH	230D36BA001C0F30	2	485	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	230D36BA001C0F30	2	1691	5	3

History

Date	User	Type	Result
2025-04-30	masser	NF-PP1	Start=148/43, B1=3100000000, B2=3096900000000
2024-05-28	masser	NF-PM1	B1=77000000000, B2=107681520490533990
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3527/63487/21255739256743241075416068643686404008919 : 230D36BA001C0F30
2018-11-01	ATH	C-PRP	M3527/63487/21255739256743241075416068643686404008919 : 230D36BA001C0F30
2018-11-01	rucio	C-PRP	M3527/63487/21255739256743241075416068643686404008919 : 230D36BA001C0F30
2018-11-01	eteo	F-ECM	Factor: 21255739256743241075416068643686404008919
2017-10-12	kkmrkkblmbrbk	C-PRP	M3527/63487 : 44A37C9436CA2DBF
2017-09-21	Oliver Kruse	C-PRP	M3527/63487 : 44A37C9436CA2DBF
2017-09-21	Oliver Kruse	C-PRP	M3527/63487 : 44A37C9436CA2DBF