

A112018


Primes p of the form 4k+3 where sigma(phi(sigma(p)))= phi(sigma(phi(p))).


0




OFFSET

1,1


COMMENTS

Between the first 480000000 primes, the equation (*): sigma(phi(sigma(x)))=phi(sigma(phi(x))) has 256 solutions q(i) and only four of them namely q(76),q(215),q(254) and q(256) are of the form 4k+3. Sequence A112017 gives composite solutions of the equation (*), which are of the form 4k+3.


LINKS



MATHEMATICA

Do[If[Mod[Prime[m], 4]==3 && DivisorSigma[1, EulerPhi[Prime[m]+1 ==EulerPhi[DivisorSigma[1, Prime[m]1]], Print[Prime[m]]], {m, 480000000}]


CROSSREFS



KEYWORD

more,nonn


AUTHOR



STATUS

approved



