mersenneforum.org Search Results
 Register FAQ Search Today's Posts Mark Forums Read

 Showing results 1 to 25 of 1000 Search took 0.23 seconds. Search: Posts Made By: R. Gerbicz
 Forum: Math 2022-01-09, 15:27 Replies: 12 Views: 609 Posted By R. Gerbicz In P-1 method you need that q-1 is smooth, not q... In P-1 method you need that q-1 is smooth, not q is smooth.
 2022-01-04, 15:08 Replies: 141 Sticky: Smarandache prime(s) Views: 31,232 Posted By R. Gerbicz That takes (at least) #n*log(p) time to check a... That takes (at least) #n*log(p) time to check a single p prime for all #n survivors. But we already have a faster way, that takes only polynomial time per prime: https://cr.yp.to/papers/sf.pdf if...
 Forum: Information & Answers 2022-01-01, 13:30 Replies: 32 Views: 1,357 Posted By R. Gerbicz You forget one thing: we conjecture that the... You forget one thing: we conjecture that the ratio of exponent's in consecutive Mersenne primes can be arbitrarily large (the record is at 127 and 521 with 521/127=4.102), ok this is a very small...
 Forum: mersenne.ca 2021-12-29, 20:42 Replies: 13 Views: 398 Posted By R. Gerbicz In c++: double getlog2(string s){ int... In c++: double getlog2(string s){ int L=s.length(); if(L<=16) return log(stoll(s))/log(2); return (log(stoll(s.substr(0,16)))+(double)(L-16)*log(10))/log(2);
 Forum: mersenne.ca 2021-12-29, 10:08 Replies: 13 Views: 398 Posted By R. Gerbicz An obvious easy/fast way to get a very good... An obvious easy/fast way to get a very good approx for the fractional bits: for x=a*2^e, where 02^63) it is just e+log2(a), what you could get in O(1) time in gmp...
 2021-12-16, 20:16 Replies: 64 Views: 11,224 Posted By R. Gerbicz Improving all solutions: (res,m) for cpap-9... Improving all solutions: (res,m) for cpap-9 using only 84 primes completely eliminating the holes for composites: Record found: th_id=6; rec=9 iteration=60708 it=10708 ii=0 time=68...
 2021-12-10, 21:37 Replies: 64 Views: 11,224 Posted By R. Gerbicz In less than 1 hour: Record found: th_id=5;... In less than 1 hour: Record found: th_id=5; rec=9 iteration=291167407 it=47407 time=2837...
 2021-12-10, 11:00 Replies: 64 Views: 11,224 Posted By R. Gerbicz OK, so your best is 66 holes (and what was used... OK, so your best is 66 holes (and what was used to find your cpap-10) when the m (the step) is divisible by (exactly) primepi(257)+1=56 primes, it isn't that super useful because killing 1-2 numbers...
 2021-12-09, 22:25 Replies: 64 Views: 11,224 Posted By R. Gerbicz Should not be that 69 holes ?? ?... Should not be that 69 holes ?? ? t=1;forprime(p=2,257,t*=p);x=1153762228327967262749742078637565852209646810567096822339169424875092523431859764709708315833909447378791; ?...
 Forum: Software 2021-12-09, 14:21 Replies: 331 Views: 15,901 Posted By R. Gerbicz No, I was too compact, and a little imprecise: ... No, I was too compact, and a little imprecise: let new step=11*1050=11550, then eulerphi(step)=10*240=2400, partition the reduced residue system modulo 11550 into 10 equal size sets, where...
 Forum: Software 2021-12-08, 22:50 Replies: 331 Views: 15,901 Posted By R. Gerbicz If the init cost is small compared to the total... If the init cost is small compared to the total cost then why wouldn't use more prime: In this case if you'd include 11 also, then you need to evaluate in 1/11 less points with 10 times more inits...
 Forum: Software 2021-12-03, 22:00 Replies: 331 Views: 15,901 Posted By R. Gerbicz What is the third number on this line: "D: 1050,... What is the third number on this line: "D: 1050, 120x403 polynomial multiplication." just guessing that the 2nd is eulerphi(1050)/2=120, but what is the 403 ?
 Forum: Homework Help 2021-11-27, 16:10 Replies: 25 Views: 5,226 Posted By R. Gerbicz Modified your idea, close to a pure combinatorial... Modified your idea, close to a pure combinatorial proof: The k=0 case is trivial, so assume that 0
 Forum: Wagstaff PRP Search 2021-11-26, 21:04 Replies: 7 Views: 2,194 Posted By R. Gerbicz Wagstaff numbers are pretty special cyclotomic... Wagstaff numbers are pretty special cyclotomic numbers, these are polcyclo(2*p,2)=(2^p+1)/3. There is no known fast tests (at speed of LL test), though there could be! Note that here for example...
 Forum: Homework Help 2021-11-26, 19:49 Replies: 25 Views: 5,226 Posted By R. Gerbicz I see where you could use Wilson theorem in the... I see where you could use Wilson theorem in the problem, though those solutions would be a little ugly. But really don't see what is in the next chapter and what you could/should use. Freely use...
 Forum: Programming 2021-11-25, 21:08 Replies: 4 Views: 1,705 Posted By R. Gerbicz Up to constant factor it should be the same... Up to constant factor it should be the same speed. Then analyse how much memory your code needs. Also if you'd contruct all integers in that way then your code runs in quadratic time and needs much...
 Forum: Programming 2021-11-25, 19:03 Replies: 4 Views: 1,705 Posted By R. Gerbicz You need only mpz_setbit(), this is optimal in... You need only mpz_setbit(), this is optimal in speed/complexity, (you set the ones in the expansion). For example this runs in 0 second: (maybe you should build up from the other direction,...
 Forum: Wagstaff PRP Search 2021-11-25, 18:41 Replies: 7 Views: 2,194 Posted By R. Gerbicz It will become a viable test when you prove that... It will become a viable test when you prove that it generates all Wagstaff primes, and gives no composites. Until that it is "only" a claim. Thanks:)
 2021-11-23, 15:03 Replies: 15 Views: 1,202 Posted By R. Gerbicz Here it is that free article:... Here it is that free article: https://www.ams.org/journals/mcom/1989-52-185/S0025-5718-1989-0946602-9/S0025-5718-1989-0946602-9.pdf You want to use theorem 6, then check it again, what they write,...
 2021-11-22, 20:42 Replies: 15 Views: 1,202 Posted By R. Gerbicz We use different letters, but never mind. For... We use different letters, but never mind. For q=3 (p=7) your test fails, otherwise it is good up to at least q=1000. I don't know how it could be good with correct proof after q=3 (not checked the...
 Forum: Math 2021-11-22, 15:15 Replies: 12 Views: 609 Posted By R. Gerbicz Yes, it is pure luck, basically you have... Yes, it is pure luck, basically you have something 1/(B1*log(B1)) probability to see this lucky find (in this calc we don't assume that there is exactly one prime factor>B1). Another type of...
 Forum: Math 2021-11-22, 14:26 Replies: 12 Views: 609 Posted By R. Gerbicz The OP's question is still valid, you can really... The OP's question is still valid, you can really find a factor for that p-1 is not smooth, beyond the B1 limit (with ofcourse excluding here the special factors for special numbers). Example: use...
 Forum: Math 2021-11-21, 16:55 Replies: 4 Views: 426 Posted By R. Gerbicz Yes, and with that oldish certificates you would... Yes, and with that oldish certificates you would only double check the first computation, what Gimps has done in the past. Then call the new method as fast certificate, because you need there roughly...
 Forum: Math 2021-11-21, 13:32 Replies: 4 Views: 426 Posted By R. Gerbicz OP wants something different. A primality... OP wants something different. A primality certificate for Mersenne primes, so a (very) fast proof when 2^p-1 is prime (where p is an odd prime). Let r=2+sqrt[3] and calculate v=r^(2^(p-2)) in...
 Forum: Homework Help 2021-11-20, 16:37 Replies: 25 Views: 5,226 Posted By R. Gerbicz That is... That is https://en.wikipedia.org/wiki/Euler%27s_theorem for m=p^n. When you want the best exponent for all gcd(a,n)=1 it is also a known problem (n=168 in your case). Let...
 Showing results 1 to 25 of 1000

All times are UTC. The time now is 19:30.

Wed Jan 19 19:31:00 UTC 2022 up 180 days, 13:59, 0 users, load averages: 1.61, 1.57, 1.54

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ 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 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔