109 589 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
27835607	8	24.7	old
73530089455028033	17	56.0	2010-02-20 13:22:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	728 / 1566

Estimated T-Level: 32.3 ⓘ

TF below 2^102 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	63266CCDD416EE62	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	63266CCDD416EE62	2	79744	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6CDE3163E2D2AEDA	2	11769	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	6CDE3163E2D2AEDA	2	89418	5	3
Verified	Certified Good	2022-11-11	LordJulius	6CDE3163E2D2AEDA	2	71009	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=418891000, B2=229239762651900
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109589/27835607/73530089455028033 : 6CDE3163E2D2AEDA Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109589/27835607/73530089455028033 : 6CDE3163E2D2AEDA Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109589/27835607/73530089455028033 : 6CDE3163E2D2AEDA
2017-10-13	kkmrkkblmbrbk	C-PRP	M109589/27835607/73530089455028033 : 63266CCDD416EE62
2017-09-21	Oliver Kruse	C-PRP	M109589/27835607/73530089455028033 : 63266CCDD416EE62
2017-09-21	Oliver Kruse	C-PRP	M109589/27835607/73530089455028033 : 63266CCDD416EE62
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-20	Rob_Dee	F-ECM	Factor: 73530089455028033