Twenty Oldest Primes on Top 5000 List
[url]http://primes.utm.edu/primes/search.php?MinAge=2860[/url]

M32, M33, M34, M36, M37 and M38 are all on the oldest20 list, but M35 is not ?????
I think something needs repair. The top5000 list I downloaded on "Sat Jun 9 18:50:25 CDT 2007" shows [code] 73 149797*2^14141371 74 2^13982691 75 192089*2^13956881 [/code] but the one at [URL]http://primes.utm.edu/primes/lists/all.pdf[/URL] with time "Wed Aug 6 20:21:04 CDT 2008" has [code]105 149797 * 2^1414137 1 106 127 * 2^1398889  1 107 1564347 * 2^1398269  1 109 192089 * 2^1395688  1[/code]Rank #108 (where M35 belongs) is missing. I've sent an email to Chris Caldwell.    Correcting this will push one of the nonMersennes off the oldest20 list. 
Oh, cool! I thought the linked search was just an interesting list of old primes. Glad to see it was actually useful as an error check.

[QUOTE=cheesehead;138896]M32, M33, M34, M36, M37 and M38 are all on the oldest20 list, but M35 is not ?????
I've sent an email to Chris Caldwell.    Correcting this will push one of the nonMersennes off the oldest20 list.[/QUOTE] Fixed as of the time of this posting. 
New Link
[url]http://primes.utm.edu/primes/search.php?MinAge=2865[/url]

Why the prevalence of k2^n + 1 over k2^n  1
among nonMersennes? 
Caldwell replied that what I noticed was an unintended side effect of verifications he was performing. "[COLOR=#0000ff]But, as you noticed, if you downloaded while it was verifying, then it did not show on the list. I'll fix that.[/COLOR]"
However, what I actually reported to Caldwell was that M35 was missing from [URL="http://primes.utm.edu/primes/lists/all.pdf"][COLOR=#22229c]http://primes.utm.edu/primes/lists/all.pdf[/COLOR][/URL]. I didn't mention that it was missing from [URL]http://primes.utm.edu/primes/search.php?MinAge=2860[/URL]. I suppose his fix covered that, too. 
[quote=masser;138928][URL]http://primes.utm.edu/primes/search.php?MinAge=2865[/URL][/quote]Note that [URL]http://primes.utm.edu/primes/search.php?MinAge=2860[/URL] and [URL]http://primes.utm.edu/primes/search.php?MinAge=2865[/URL] give slightly different results ([I]as of the time I post this[/I]).
Perhaps what you're getting is not the 20 oldest primes on the Top 5000 list, but the 20 largest primes older than 2860, or 2865, days, respectively? In that case, a few days from now [URL]http://primes.utm.edu/primes/search.php?MinAge=2860[/URL] and [URL]http://primes.utm.edu/primes/search.php?MinAge=2865[/URL] may return identical results. 
[quote=cheesehead;138963]In that case, a few days from now [URL]http://primes.utm.edu/primes/search.php?MinAge=2860[/URL] and [URL]http://primes.utm.edu/primes/search.php?MinAge=2865[/URL] may return identical results.[/quote]... and so they do, now.

[QUOTE=davieddy;138932]Why the prevalence of k2^n + 1 over k2^n  1
among nonMersennes?[/QUOTE] I believe that the programmes available at that time did not favour 1 cases. LLR came much later. 
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