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Mathworld, and ReverseSmarandache Primes
I've been in contact with Eric Weinstein (who manages the Mathworld website). He is interested in some of the searches being done by mersenneforum and PrimeGrid. If you are interested in doing something "different", check out these links:
[url]http://mathworld.wolfram.com/ConsecutiveNumberSequences.html[/url] [url]http://mathworld.wolfram.com/ConstantPrimes.html[/url] [url]http://mathworld.wolfram.com/IntegerSequencePrimes.html[/url] I've invited Eric to join (or rejoin) mersenneforum. I think that with the brains on this forum we should be able to develop some projects to extends the searches. One in particular is for Smarandache-Wellin primes (see separate thread). I've already modified pfgw to support that form natively and would be willing to modify pfgw for other searches. I am also willing to help write sieving code for some of those searches. If you are interested in any of those searches, start a new thread to drum up some interest. |
well I look up a lot sometimes and I know that there's quite a few threads related to this like the smarandache primes thread. and a puzzle about the reversing concatenation version of the sequence, pi primes semi relate to the primes in pi thread though that's slightly different.
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Good luck with PrimeGrid!
When I posted there about the on-going Smarandache prime search, my post was [B]removed as spam[/B] and I've been given a lecture by email. Not automatically generated, mind you, no - hand written and, in particular, comparing my posting to "selling shoes". I cannot believe that someone would be so deluded as to consider PrimeGrid volunteer resources as somehow [I]their subordinates[/I] and "protect" that workforce from "leaking" to other potential projects, and zealously censoring their forum from such dangerous postings. They own that workforce, it seems. But that's ok. I've seen the Communist Party and I've seen censorship - nothing new here; I can recognize the same symptoms in people, and I know towards what bright future they will march their masses on. They own them. NIH. "Not Invented Here". A sadly familiar attitude. |
Interestingly, after checking PNACP (Crandal, Pomerance, 2005, 2nd ed., p.78 [STRIKE]72[/STRIKE]), I found that it lists SmW(719) (which is SmWp(128)) as the first non-trivial prime, which appears to be correct, while the [URL="http://mathworld.wolfram.com/Smarandache-WellinPrime.html"]note on MathWorld's page[/URL] refers to something else (possibly to the 2001 or 2002 edition):
[QUOTE]Note that Crandall and Pomerance 2005, p. 72 erroneously list 5441 as a term, whereas actually p[SUB]719[/SUB] = 5441 and 2...3...5.7...5441 is.[/QUOTE]Maybe reference on the webpage (to the 2nd ed, dated 2005) has been automatically updated, but the text of the parenthesized note refers to earlier editions only. |
Yes, the comment in question applied to the 1st edition but the reference got updated to the 2nd edition, where it no longer applies. Fixed on [URL="http://mathworld.wolfram.com/Smarandache-WellinPrime.html"]http://mathworld.wolfram.com/Smarandache-WellinPrime.html[/URL]
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p#-1 and OEIS A057704
It seems [URL="https://oeis.org/A057704"]https://oeis.org/A057704[/URL]
2, 3, 5, 6, 13, 24, 66, 68, 167, 287, 310, 352, 564, 590, 620, 849, 1552, 1849 misses recently found large p#-1 primes; cf. e.g. [URL="http://primes.utm.edu/top20/page.php?id=5"]http://primes.utm.edu/top20/page.php?id=5[/URL] and [URL="http://prpnet.primegrid.com:12008/user_primes.html"]http://prpnet.primegrid.com:12008/user_primes.html[/URL]. Does anyone know the complete list of additional primes to bring it up to date? I.e., are there any other primes between 1587# - 1 and 843301# - 1? |
Hi Eric,
Welcome back to the forum! I had a question about Smr(n) primes: you have found the second PRP in 2010 (n=37765), but how far did you search? Are you still searching? |
[QUOTE=ericw;414651]It seems [URL="https://oeis.org/A057704"]https://oeis.org/A057704[/URL]
2, 3, 5, 6, 13, 24, 66, 68, 167, 287, 310, 352, 564, 590, 620, 849, 1552, 1849 misses recently found large p#-1 primes; cf. e.g. [URL="http://primes.utm.edu/top20/page.php?id=5"]http://primes.utm.edu/top20/page.php?id=5[/URL] and [URL="http://prpnet.primegrid.com:12008/user_primes.html"]http://prpnet.primegrid.com:12008/user_primes.html[/URL]. Does anyone know the complete list of additional primes to bring it up to date? I.e., are there any other primes between 1587# - 1 and 843301# - 1?[/QUOTE] I assume you meant 15877# - 1. I [I]guess[/I] PrimeGrid checked all the numbers from 700k on their [URL="http://prpnet.primegrid.com:12008/"]PRPNet server[/URL]. Whether any were missed below that is debatable. :smile: |
[QUOTE=Batalov;414743]Hi Eric,
Welcome back to the forum!?[/QUOTE] Thanks. [QUOTE=Batalov;414743]I had a question about Smr(n) primes: you have found the second PRP in 2010 (n=37765), but how far did you search? Are you still searching?[/QUOTE] Yes, still searching. As of today the search has reached 47889 47888 ... 3 2 1 without finding any more PRPs. |
[QUOTE=paulunderwood;414758]I assume you meant 15877# - 1.[/QUOTE]
Indeed. Another question for Paul or anyone else (I am having trouble rejoining primeform on Yahoo groups to ask there.) I see PrimeGrid has been busily finding new Thabit ibn Kurrah primes 3*2^n - 1. I found some references to that search in various places: [URL="https://groups.yahoo.com/neo/groups/primeform/conversations/messages/11558"]https://groups.yahoo.com/neo/groups/primeform/conversations/messages/11558[/URL] [URL="http://primes.utm.edu/bios/page.php?id=950"]http://primes.utm.edu/bios/page.php?id=950[/URL] [URL="http://www.primegrid.com"]http://www.primegrid.com[/URL] [URL="http://boinc.berkeley.edu"]http://boinc.berkeley.edu[/URL] However, I did not manage to find a page listing the current status/search limits. Any know if there is one? Also, may I infer from the above that Paul's 321 search [URL="http://www.mersenneforum.org/321search/The%20status%20of%20the%20search.html"]http://www.mersenneforum.org/321search/The%20status%20of%20the%20search.html[/URL] is no longer active? Thanks. |
Please check this address:
[url]http://www.primegrid.com/server_status_subprojects.php[/url] |
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