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The smallest term that is not multiple of 6 is 3472.
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
(PARI) is(n)=my(s=sigma(n)); s>2*n+6 && isprime(s-n-1) && isprime(s-n-n-1) \\ Charles R Greathouse IV, Feb 19 2013
Subsequence of A175727.
Sequence in context: A214195 A091454 A175727 * A136152 A244066 A090815
Adjacent sequences: A179942 A179943 A179944 * A179946 A179947 A179948
Alexey Galkin (fetch91(AT)gmail.com), Aug 03 2010