The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A180404 Primes p such that the sum of fifth power of their digits is a prime. 1
 11, 101, 191, 223, 227, 229, 281, 313, 331, 337, 359, 373, 379, 397, 463, 487, 557, 577, 593, 643, 683, 733, 739, 757, 773, 821, 863, 881, 911, 937, 953, 1019, 1033, 1091, 1109, 1123, 1129, 1181, 1213, 1231, 1259, 1277, 1291, 1303, 1321, 1381, 1433, 1439 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA If a prime p = abcdef... (each letter being a single digit) then sum = a^5+b^5+... belongs to this sequence if sum is a prime. EXAMPLE a(5) = 227 since 2^5+2^5+7^5 = 32+32+16807 = 16871 is a prime. MAPLE P:=proc(n) local a, k; a:=convert(ithprime(n), base, 10); if isprime(add(a[k]^5, k=1..nops(a))) then ithprime(n); fi;  end: seq(P(i), i=1..228); # Paolo P. Lava, Sep 24 2018 MATHEMATICA Select[Prime[Range[500]], PrimeQ[Total[IntegerDigits[#]^5]]&] (* Harvey P. Dale, May 25 2011 *) CROSSREFS Cf. A046704, A052034, A091366, A091367. Sequence in context: A199328 A068188 A032592 * A142317 A180406 A174884 Adjacent sequences:  A180401 A180402 A180403 * A180405 A180406 A180407 KEYWORD nonn,base AUTHOR Carmine Suriano, Sep 02 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 25 02:57 EDT 2021. Contains 346282 sequences. (Running on oeis4.)