8 269 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
727673	6	19.5	old
19630607	8	24.2	old
826971837600921871	18	59.5	old
1603856425126601291827480430159626165591260089	46	150.2	2017-11-02 22:02:38

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	8277 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	627E1DD67B255CDB	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	627E1DD67B255CDB	3	1735	1	3
Verified	2017-11-03	James Heinrich	005A2E67750871DC	4	3231	5	5
Verified	2017-11-03	Yaroslav Berezhko	03AD997EF59B00B4	4	4608	5	3
Verified	2017-11-03	Yaroslav Berezhko	03AD997EF59B00B4	4	5658	5	3
Verified	2017-11-03	Oliver Kruse	03AD997EF59B00B4	4	6107	5	3
Verified (Factored)	2019-09-26	qq1010903229	005A2E67750871DC	1	426	5	5
Verified	2019-09-26	qq1010903229	005A2E67750871DC	4	3559	5	5

History

Date	User	Type	Result
2023-08-30	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2019-09-26	qq1010903229	C-PRP	M8269/727673/19630607/826971837600921871/1603856425126601291827480430159626165591260089 : 005A2E67750871DC PRP: Verified PRP without proof (small exponent)
2019-09-26	qq1010903229	C-PRP	M8269/18946378006575343593880286087778595951488746680520694801425771177343534384209 : 005A2E67750871DC PRP: Verified PRP without proof (small exponent)
2017-11-03	Oliver Kruse	C-PRP	M8269/727673/19630607/826971837600921871/1603856425126601291827480430159626165591260089 : 03AD997EF59B00B4 PRP: Verified PRP without proof (small exponent)
2017-11-03	Yaroslav Berezhko	C-PRP	M8269/727673/19630607/826971837600921871/1603856425126601291827480430159626165591260089 : 03AD997EF59B00B4 PRP: Verified PRP without proof (small exponent)
2017-11-03	Yaroslav Berezhko	C-PRP	M8269/727673/19630607/826971837600921871/1603856425126601291827480430159626165591260089 : 03AD997EF59B00B4 PRP: Verified PRP without proof (small exponent)
2017-11-03	James Heinrich	C-PRP	M8269/727673/19630607/826971837600921871/1603856425126601291827480430159626165591260089 : 005A2E67750871DC PRP: Verified PRP without proof (small exponent)
2017-11-02	James Hintz	F-ECM	Factor: 1603856425126601291827480430159626165591260089 / (ECM curve 2799, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8269/727673/19630607/826971837600921871 : 627E1DD67B255CDB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8269/727673/19630607/826971837600921871 : 627E1DD67B255CDB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8269/727673/19630607/826971837600921871 : 627E1DD67B255CDB PRP without proof (not generated)