109 663 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
1329947771671031	16	50.2	old
2481581533601321	16	51.1	2008-08-26 20:12:04
10910282667226375559331658155167	32	103.1	2024-09-16 23:06:53

ECM

Estimated T-Level: 32.1 ⓘ

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	718830F27EAD5EB8	2	0	1	3
Factored	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	718830F27EAD5EB8	2	59977	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8EE69797F91A8513	2	9065	5	3
Factored	Not Uploaded	2022-04-15	LordJulius	8EE69797F91A8513	2	53188	5	3
Factored	Certified Good	2022-11-11	LordJulius	8EE69797F91A8513	2	12572	5	3
Verified	Certified Good	2024-09-16	cramsey87	8EE69797F91A8513	3	17741	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=417781000, B2=229231382119740
2025-12-17	ViliamF	NF-PM1	B1=100000000, B2=2386922057520
2024-09-17	yakman	CERT	Proof certified good
2024-09-16	cramsey87	C-PRP	M109663/1329947771671031/2481581533601321/10910282667226375559331658155167 : 8EE69797F91A8513 Proof Certified Good Proof Power: 5
2024-09-16	cramsey87	F-ECM	Factor: 10910282667226375559331658155167 / ECM curve 22, B1=1128093, B2=4962112155, Edwards Sigma=5601738461768979
2022-11-11	curtisc	CERT	Proof certified good
2022-11-11	LordJulius	C-PRP	M109663/1329947771671031/2481581533601321 : 8EE69797F91A8513 Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 61-62
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: 57-58
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-04-15	LordJulius	C-PRP	M109663/1329947771671031/2481581533601321 : 8EE69797F91A8513 Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109663/1329947771671031/2481581533601321 : 8EE69797F91A8513
2017-10-13	kkmrkkblmbrbk	C-PRP	M109663/1329947771671031/2481581533601321 : 718830F27EAD5EB8
2017-09-21	Oliver Kruse	C-PRP	M109663/1329947771671031/2481581533601321 : 718830F27EAD5EB8
2017-09-21	Oliver Kruse	C-PRP	M109663/1329947771671031/2481581533601321 : 718830F27EAD5EB8
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-anonymous-	F	Factor: 2481581533601321

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