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hermann on Thu, 10 Jul 2025 00:38:39 +0200
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Re: Implementation of functions for "Integer partitions detect the primes" paper
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: Implementation of functions for "Integer partitions detect the primes" paper
- From: hermann@stamm-wilbrandt.de
- Date: Thu, 10 Jul 2025 00:38:34 +0200
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On 2025-07-09 22:14, Bill Allombert wrote:
That does not work:
? M1(n)=sigma(n);
? M2(n)=(sigma(n,3)-(2*n-1)*sigma(n))/8;
? T1(n)=(n^2 - 3^n + 2)*M1(n) - 8*M2(n);
^^^
This should be 3*n.
Thanks, after simplification:
? T1(n) = (n^2 - n + 1) * sigma(n) - sigma(n, 3);
? T1(precprime(10^9))
0
?
Regards,
Hermann.