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n-th prime's factorial raised to n-th prime power.

2

`%I #6 Jun 21 2024 19:43:25
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`%S 4,216,24883200000,82606411253903523840000000,
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`%T 409933016554924328182440935903164918932547530146724293451448320000000000000000000000
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`%N n-th prime's factorial raised to n-th prime power.
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`%C a(5) through a(10) have this many decimal digits: 84, 128, 248, 325, 516 and 898, respectively.
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`%F a(n) = (prime(n)!)^prime(n).
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`%e a(3) = 24883200000 because the 3rd prime is 5 and 5!^5 = 120^5 = 24883200000.
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`%o (PARI) for(n=1,5,print1(prime(n)!^prime(n),","))
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`%K easy,nonn
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`%O 1,1
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`%A _Rick L. Shepherd_, Mar 24 2002
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