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A206626 Primes p such that p + previousprime(p) is a squarefree number. 0

%I #9 Sep 21 2023 18:47:52

%S 3,17,23,41,71,97,107,113,131,167,197,211,223,233,311,383,397,401,457,

%T 467,479,487,491,503,521,617,647,673,691,709,727,743,761,773,809,863,

%U 881,887,907,919,937,941,971,991,1009,1013,1097,1117,1171,1213,1249,1283

%N Primes p such that p + previousprime(p) is a squarefree number.

%F a(n) = A206329(n) - A206462 (n).

%e 3+2 = 5 = A206462(1), 17+13 = 30 = A206462(2).

%t Select[Prime[Range[250]],SquareFreeQ[#+NextPrime[#,-1]]&] (* _Harvey P. Dale_, Sep 21 2023 *)

%Y Cf. A001043, A001358, A005117, A206329, A206462.

%K nonn

%O 1,1

%A _Zak Seidov_, Feb 10 2012

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Last modified August 3 17:27 EDT 2024. Contains 374895 sequences. (Running on oeis4.)