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A281170
Primes p whose decimal representation satisfy: abs(digsum(p)-2*L(p)) = 8, being L(p) the largest decimal digit in p.
0
19, 109, 1009, 1777, 1889, 1979, 1997, 2677, 2699, 2767, 2789, 2879, 2897, 2969, 3779, 3797, 4567, 4657, 4679, 4967, 5399, 5557, 5647, 5669, 5737, 5849, 5939, 6277, 6299, 6367, 6389, 6547, 6563, 6569, 6637, 6653, 6659, 6673, 6763, 6947, 6983, 7177
OFFSET
1,1
EXAMPLE
a(4) = 1777, since abs(digsum(1777)-2*L(1777)) = abs(A007953(1777)-2*A054055(1777)) is 8 and among the primes 1777 is the 4th element satisfying such condition.
MATHEMATICA
Select[Prime@ Range[10^3], Abs[Max@ # - Total@ Rest@ #] == 8 &@ Reverse@ Sort@ IntegerDigits@ # &] (* Michael De Vlieger, Feb 02 2017 *)
PROG
(PARI) listA281170(k, {k0=8})={my(H=List(), y); forprime(z=prime(k0), prime(k), y=digits(z); if(abs(vecsum(y)-2*vecmax(y))==8, listput(H, z))); return(vector(#H, i, H[i]))} \\ Looks for those belonging terms between prime(k0) and prime(k). - R. J. Cano, Feb 06 2017
CROSSREFS
Subsequence of A280993.
Sequence in context: A191566 A118607 A144246 * A158715 A372010 A186105
KEYWORD
nonn,base
AUTHOR
Osama Abuajamieh, Jan 16 2017
STATUS
approved