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A108933
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Numbers n such that the absolute value of (n - sum of the factorials of its digits) is prime.
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1
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3, 14, 20, 24, 25, 30, 37, 43, 50, 53, 59, 60, 67, 73, 79, 80, 97, 100, 105, 110, 115, 124, 125, 134, 138, 146, 151, 152, 158, 171, 172, 198, 201, 202, 225, 227, 235, 243, 249, 250, 255, 259, 260, 265, 295, 301, 302, 306, 314, 318, 320, 325, 327, 330, 343, 347
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OFFSET
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1,1
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COMMENTS
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6*10^843-1 generates an 844-digit prime.
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LINKS
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EXAMPLE
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a(5)=25 because |25-(2!+5!)| = 97, a prime.
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MATHEMATICA
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Select[Range[400], PrimeQ[Abs[#-Total[IntegerDigits[#]!]]]&] (* Harvey P. Dale, Oct 03 2017 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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