109 919 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
219839	6	17.7	old
358131930337	12	38.4	2008-07-26 09:17:11
4058748573778417	16	51.8	2008-12-02 20:23:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	722 / 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	B2BA056D2C469954	3	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	B2BA056D2C469954	3	27973	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	FF4F257B41EA823C	3	102135	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	FF4F257B41EA823C	3	29285	5	3
Factored	Not Uploaded	2022-05-12	Jorge Coveiro	FF4F257B41EA823C	1	73070	5	3
Verified	Certified Good	2022-11-11	LordJulius	FF4F257B41EA823C	3	76532	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=886899000, B2=137332171046070
2025-12-18	ViliamF	NF-PM1	B1=100000000, B2=2947421827350
2022-11-11	SRS Technology	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109919/219839/358131930337/4058748573778417 : FF4F257B41EA823C Proof Not Uploaded Proof Power: 5
2022-05-12	Jorge Coveiro	C-PRP	M109919/219839 : FF4F257B41EA823C Proof Not Uploaded Proof Power: 5
2022-05-08	LordJulius	NF	no factor TF: 62-63
2022-05-08	LordJulius	NF	no factor TF: 60-61
2022-05-08	LordJulius	NF	no factor TF: 61-62
2022-05-08	LordJulius	NF	no factor TF: 58-59
2022-05-08	LordJulius	NF	no factor TF: 59-60
2022-05-08	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109919/219839/358131930337/4058748573778417 : FF4F257B41EA823C Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109919/219839/358131930337/4058748573778417 : FF4F257B41EA823C
2017-10-13	kkmrkkblmbrbk	C-PRP	M109919/219839/358131930337/4058748573778417 : B2BA056D2C469954
2017-09-21	Oliver Kruse	C-PRP	M109919/219839/358131930337/4058748573778417 : B2BA056D2C469954
2017-09-21	Oliver Kruse	C-PRP	M109919/219839/358131930337/4058748573778417 : B2BA056D2C469954
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-12-02	Matthias Wurtinger	F-ECM	Factor: 4058748573778417
2008-07-26	J Feitsma	F	Factor: 358131930337