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Search: id:A164767
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| A164767 |
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Primes obtained from other primes by taking the factorial of each digit and adding them up. |
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+0
1
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| 2, 7, 7, 3, 727, 13, 13, 31, 127, 727, 727, 5, 5, 11, 37, 362911, 151, 40351, 362911, 151, 5881, 5881, 1447, 6481, 364321, 5167, 15121, 408241, 408241, 408241, 1088641, 5, 5, 11, 11, 7, 362911, 733, 11, 19, 19, 733, 37, 751, 362911, 5167, 151, 5167, 733, 733
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The primes are considered in increasing order.
For the first 100 million primes, the first 50 primes are formed. Do all primes eventually appear? [From Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2009]
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EXAMPLE
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The prime 11 gives, 1! + 1! = 2 (prime). The prime 163 gives, 1! + 6! + 3! = 727 (prime). The prime 613 gives, 6! + 1! + 3! = 727 (prime).
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MATHEMATICA
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f[n_] := Plus @@ (IntegerDigits@n!); lst = {}; Do[p = Prime@n; a = f@p; If[ PrimeQ@a && a != p, AppendTo[lst, a]], {n, 10^3}]; lst [From Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2009]
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CROSSREFS
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Cf. A000040, A164676
Sequence in context: A153520 A153649 A020770 this_sequence A021977 A057105 A016536
Adjacent sequences: A164764 A164765 A164766 this_sequence A164768 A164769 A164770
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KEYWORD
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base,nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Aug 25 2009
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 31 2009
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