New Mersenne Prime

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bearnol

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Dec 21, 2018, 9:21:41 AM12/21/18
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Congratulations to the Great Internet Mersenne Prime Search, who today released their latest Mersenne Prime discovery, M82589933.
I have started running TF on the new Mersenneplustwo, but so far have not found any factors of it...

einyen1

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Dec 21, 2018, 2:18:29 PM12/21/18
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On Friday, December 21, 2018 at 3:21:41 PM UTC+1, bearnol wrote:
Congratulations to the Great Internet Mersenne Prime Search, who today released their latest Mersenne Prime discovery, M82589933.
I have started running TF on the new Mersenneplustwo, but so far have not found any factors of it...


 Hi.

I already factored W82589933 to 2^79 and a good portion of the way to 2^80 without any factors, and then I ran the PRP test with Prime95:

no factor for W82589933 from 2^1 to 2^67 [mfaktc 0.21 75bit_mul32_gs]
no factor for W82589933 from 2^67 to 2^68 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^68 to 2^69 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^69 to 2^70 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^70 to 2^71 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^71 to 2^72 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^72 to 2^73 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^73 to 2^74 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^74 to 2^75 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^75 to 2^76 [mfaktc 0.21 barrett76_mul32_gs]
no factor for W82589933 from 2^76 to 2^77 [mfaktc 0.21 barrett87_mul32_gs]
no factor for W82589933 from 2^77 to 2^78 [mfaktc 0.21 barrett87_mul32_gs]
no factor for W82589933 from 2^78 to 2^79 [mfaktc 0.21 barrett87_mul32_gs]
(and half way to 2^80 without factors)

[Work thread Dec 13 00:13:14] 2^82589933+1/3 is not prime. Type-5 RES64: 891318A6346D7DE3. Wh8: C404A363,00000000

BR
Andreas (ATH on mersenneforum)

bearnol

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Jul 30, 2019, 5:33:15 PM7/30/19
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[Tue Jul 30 22:28:26 2019]

2^82589933+1/3 is not prime.  RES64: 9841E7C75AC01D0C. We10: C404A363,00000000


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