## Re: a^b+b^a is PRP!

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• Hello! ... for me ... Well, I may prove the numbers which have
Message 1 of 13 , Jun 2, 2001
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Hello!

Christ wan Willegen wrote:

>I have no prior Titanix experience, but I think it's time
for me
>to give it a try...
>
>Andrey, I am willing to use my Athlon-800 for a few days
>to try to prove them. Select a few large ones, so that I
>will be busy for a week or so. You yourself (or someone
>else?) can perhaps take the smaller ones.

Well, I may prove the numbers which have <=1000 digits.

But:

Paul Leyland wrote:

>Many of the primes were proved by me years ago, and I had
two in the
>prime record tables until they were re-catalogued as
uninteresting.

Paul, please send us a list of primes you have proven, and
we'll prove all remaining ones.

I will prove less than 1000 digit numbers, Christ wan
Willegen, for example, will prove numbers with 1001..2000
digits, and someone third (maybe Paul Leyland) will prove
numbers with >2000 digits.

Note that 1000-digit prime 289^406+406^289 was proven by
Paul, and then independently by me as the smallest titanic
prime of such a kind. The primes 342^343+343^342,
111^322+322^111, 122^333+333^122, 8^69+69^8 was also proven
by me nearly 5 months ago; 365^444+444^365 was proven by me
and Marcel Martin (he found a step with record polynomial
degree of 100) nearly 3 months ago.

Best wishes,

Andrey
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• Hello! OK, I ll prove all remaining prps with less than 1200 digits, i.e.: 8^519+519^8, 20^471+471^20, 5^1036+1036^5, 56^477+477^56, 98^435+435^98,
Message 2 of 13 , Jun 4, 2001
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Hello!

OK, I'll prove all remaining prps with less than 1200
digits, i.e.:

8^519+519^8,
20^471+471^20,
5^1036+1036^5,
56^477+477^56,
98^435+435^98,
21^782+782^21,
32^717+717^32,
365^444+444^365,
423^436+436^423,
34^773+773^34.

Best wishes,

Andrey
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