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A368297
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Prime plane partition numbers.
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0
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3, 13, 859, 5668963, 12733429, 281846923, 10499640707, 776633557947931, 59206066030052023, 13621664240071959464038764694637, 27217095019687611064080107410267607999874139, 208912772327685894433117242327777497768893400876928857463950152067659
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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MAPLE
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a:= proc(n) option remember; `if`(n=0, 1, add(
a(n-j)*numtheory[sigma][2](j), j=1..n)/n)
end:
select(isprime, [seq(a(n), n=0..800)])[]; # Alois P. Heinz, Dec 20 2023
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MATHEMATICA
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nmax = 750; Select[CoefficientList[Series[Product[1/(1 - x^k)^k, {k, 1, nmax}], {x, 0, nmax}], x], PrimeQ]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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