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A305076
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Numbers k such that prime(k)^k - primorial(k - 1) is prime.
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1
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2, 4, 5, 8, 9, 15, 29, 213, 666, 1360, 3932
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OFFSET
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1,1
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COMMENTS
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Numbers k such that A304917(k) is prime.
a(12) > 4000 if it exists.
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LINKS
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EXAMPLE
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n = 1 gives 2 - 1 = 1. n=2 gives 3^2 - 2 = 7, so 2 is the first term.
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MAPLE
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N:=2000:
for X from 1 to N do
Z:=mul(ithprime(i), i=1..(X-1));
Y:=(ithprime(X)^X - Z);
if isprime(Y) then print(X);
end if
end do:
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MATHEMATICA
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Select[Range@ 700, PrimeQ[Prime[#]^# - Product[Prime@ i, {i, # - 1}]] &] (* Michael De Vlieger, Jul 19 2018 *)
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PROG
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(PARI) isok(k) = isprime(prime(k)^k - prod(j=1, k-1, prime(j))); \\ Michel Marcus, Jun 09 2018
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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