109 507 Exponent Status

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
1095071	7	20.1	old
15337654504363696684951	23	73.7	2014-08-04 11:21:48
1149729644121427216786838741242873	34	109.8	2024-09-16 18:12:40

ECM

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	34F48DF837C6FE7A	2	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	34F48DF837C6FE7A	2	61874	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	DC6DE32B6C37767A	2	39718	5	3
Factored	Not Uploaded	2022-04-15	LordJulius	DC6DE32B6C37767A	2	27774	5	3
Factored	Certified Good	2022-11-11	LordJulius	DC6DE32B6C37767A	2	16373	5	3
Verified	Certified Good	2024-09-16	cramsey87	DC6DE32B6C37767A	3	104211	5	3

History

Date	User	Type	Result
2026-02-10	Jason Lynch	NF-PM1	B1=891092000, B2=137332171046070
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2384204282460
2024-09-17	yakman	CERT	Proof certified good
2024-09-16	cramsey87	C-PRP	M109507/1095071/15337654504363696684951/1149729644121427216786838741242873 : DC6DE32B6C37767A Proof Certified Good Proof Power: 5
2024-09-16	cramsey87	F-ECM	Factor: 1149729644121427216786838741242873 / ECM curve 43, B1=1128093, B2=4962112155, Edwards Sigma=1598695619988124
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109507/1095071/15337654504363696684951 : DC6DE32B6C37767A 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: 60-61
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-04-15	LordJulius	C-PRP	M109507/1095071/15337654504363696684951 : DC6DE32B6C37767A Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109507/1095071/15337654504363696684951 : DC6DE32B6C37767A
2017-10-13	kkmrkkblmbrbk	C-PRP	M109507/1095071/15337654504363696684951 : 34F48DF837C6FE7A
2017-09-21	Oliver Kruse	C-PRP	M109507/1095071/15337654504363696684951 : 34F48DF837C6FE7A
2017-09-21	Oliver Kruse	C-PRP	M109507/1095071/15337654504363696684951 : 34F48DF837C6FE7A
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2014-08-04	TJAOI	F-ECM	Factor: 15337654504363696684951

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