mersenneforum.org - Search Results

		mersenneforum.org > Search Forums
Search Results

Showing results 1 to 8 of 8
Search took 0.01 seconds. Search: Posts Made By: Zhangrc

Forum: Marin's Mersenne-aries

2021-10-19, 14:27

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

M108398111 has a factor: 127634018463172816320049...

M108398111 has a factor: 127634018463172816320049 :bounce:

The 108.3M have 2096 unfactored exponents. If F-PM1 probability stays around 4% we might still have ~2020 exponents. I suggest we should...

Forum: Marin's Mersenne-aries

2021-09-25, 08:51

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

How long exactly? For me, TF from 2^76 to 2^77...

How long exactly?
For me, TF from 2^76 to 2^77 takes 3 hours while PRP and P-1 takes 11 to 12 days. It still make sense to TF to 2^77.

Forum: Marin's Mersenne-aries

2021-09-25, 08:42

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

Me too, that doesn't hurt your throughput. Would...

Me too, that doesn't hurt your throughput. Would you like to help with some wavefront TF?

Forum: Marin's Mersenne-aries

2021-09-25, 08:36

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

Me too. However we should compare the time of...

Me too. However we should compare the time of running TF and P-1 on the same GPU, not TF on GPU and P-1 on CPU.

Forum: Marin's Mersenne-aries

2021-09-25, 08:15

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

That's my point: They have all been done months...

That's my point: They have all been done months before, and if we still focus on these "recommended" bounds, we might have nothing to do (TF at the PRP wavefront) in the future.

Forum: Marin's Mersenne-aries

2021-09-25, 08:08

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

Yes if you want to find more factors, no if you...

Yes if you want to find more factors, no if you want to save more time.

You are referring to your 168,***,*23, I suppose?

Forum: Marin's Mersenne-aries

2021-09-25, 07:48

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

The bounds are a little high, though. Not...

The bounds are a little high, though.

Not that high. It's about 0.04/(2/78) = 1.56 times higher. However, with TF done to 2^78, one need smaller P-1 bounds to reach desired probability, thus...

Forum: Marin's Mersenne-aries

2021-09-25, 04:17

Replies: 20

Trial factoring to > 2^77?

Views: 2,924

Posted By Zhangrc

Trial factoring to > 2^77?

Nowadays people mainly do trial factoring in the two-k project (which I have very little interest), and GPU72 is releasing TF assignments to 2^76 and seems very reluctant to give any higher bounds....

Showing results 1 to 8 of 8

All times are UTC. The time now is 18:11.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔