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Primes of the form (k-th primorial) - (k+1)st prime.
1

%I #17 Nov 11 2023 17:17:06

%S 23,199,2297,30013,9699667,3217644767340672907899084554047,

%T 267064515689275851355624017992701,

%U 23768741896345550770650537601358213,1492182350939279320058875736615841068547583863326864530259

%N Primes of the form (k-th primorial) - (k+1)st prime.

%C Conjecture: sequence is infinite.

%e primorial(4) - prime(4+1) = 2*3*5*7 - prime(5) = 210 - 11 = 199, which is prime, so 199 is a term.

%Y Cf. A002110, A093078, A249798 (corresponding k's).

%Y The prime numbers in A060882.

%Y A038708 with subtraction instead of addition.

%K nonn

%O 1,1

%A _Daniel D Gibson_, Nov 08 2023