Partition function (number theory): Difference between revisions

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Undid revision 1095212435 by Rublev (talk) Perhaps you didn't notice, but the sum is over positive AND NEGATIVE indices. The correction term is only needed when the sum is limited to positive indices.
Definition and examples: p(1289844341) isn't the largest ECPP prime anymore
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{{As of|20202022|FebruaryJune}}, the largest known [[prime number]] among the values of {{math|''p''(''n'')}} is {{math|''p''(1289844341)}}, with 40,000 decimal digits;.{{r|caldwell}}<ref>{{citation |title=PrimePage Primes: p(1289844341) |url=https://primes.utm.edu/primes/page.php?id=130336 |website=primes.utm.edu |access-date=30 June 2022}}</ref> Until March 2022, this iswas also the largest prime that has been proved using [[elliptic curve primality proving]].<ref>{{citation |title=PrimePageThe PrimesTop Twenty: p(1289844341)Elliptic Curve Primality Proof |url=https://primes.utm.edu/primestop20/page.php?id=13033627 |website=primes.utm.edu |access-date=630 JanuaryJune 2022}}</ref>
 
== Generating function==