109 819 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
231937729	9	27.8	old
2215953831286439	16	51.0	2008-08-26 20:12:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	729 / 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	F5C81018370B6F33	2	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	F5C81018370B6F33	2	69222	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E31E526ED52E8A22	2	86730	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	E31E526ED52E8A22	2	65011	5	3
Verified	Certified Good	2022-11-11	LordJulius	E31E526ED52E8A22	2	20841	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=886899000, B2=137382320995920
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109819/231937729/2215953831286439 : E31E526ED52E8A22 Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 61-62
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: 58-59
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109819/231937729/2215953831286439 : E31E526ED52E8A22 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109819/231937729/2215953831286439 : E31E526ED52E8A22
2017-10-13	kkmrkkblmbrbk	C-PRP	M109819/231937729/2215953831286439 : F5C81018370B6F33
2017-09-21	Oliver Kruse	C-PRP	M109819/231937729/2215953831286439 : F5C81018370B6F33
2017-09-21	Oliver Kruse	C-PRP	M109819/231937729/2215953831286439 : F5C81018370B6F33
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-anonymous-	F	Factor: 2215953831286439