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A229264 Primes of the form sigma(n) + phi(n), where sigma(n) = A000203(n) and phi(n) = A000010(n). 4

%I #16 Apr 30 2018 13:24:08

%S 2,19,19,79,103,113,257,523,509,1151,1279,1193,1579,2273,3061,2389,

%T 2693,2843,5003,4831,5119,7411,5693,5623,8623,6323,10139,8933,18401,

%U 14957,20411,20479,21191,20123,29683,28211,36833,55021,57203,68743,48761,66533,62423

%N Primes of the form sigma(n) + phi(n), where sigma(n) = A000203(n) and phi(n) = A000010(n).

%e Third term of A038344 is 9 and sigma(9) + phi(9) = 13 + 6 = 19 is prime.

%p with(numtheory); P:=proc(q) local a, n; for n from 1 to q do a:=sigma(n)+phi(n);

%p if isprime(a) then print(a); fi; od; end: P(10^6);

%t Select[Table[DivisorSigma[1,n]+EulerPhi[n],{n,30000}],PrimeQ] (* _Harvey P. Dale_, Apr 30 2018 *)

%Y Cf. A000005, A000010, A000203, A009087, A023194, A038344, A055813, A062700, A064205, A115919, A141242, A229265-A229268

%K nonn

%O 1,1

%A _Paolo P. Lava_, Sep 18 2013

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Last modified August 11 19:17 EDT 2024. Contains 375073 sequences. (Running on oeis4.)