A153404 Middle of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.

5, 571, 1753, 5113, 6949, 9283, 11047, 14401, 24859, 25171, 26203, 31159, 34471, 41719, 42397, 45289, 61099, 62533, 80611, 82141, 90001, 91969, 92347, 93811, 98377, 98887, 103591, 105907, 111373, 117133, 120997, 122827, 128413, 135607

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Dec 25 2008

Keywords

• nonn

Examples

			3*5*7 + 2 + 2 - 1 = 108 and 108 +- 1 are primes.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A099349, A153374, A153375, A153376, A153377, A153378, A153379, A153402.

Programs

Mathematica

lst={};Do[p1=Prime[n];p2=Prime[n+1];p3=Prime[n+2];d1=p2-p1;d2=p3-p2;a=p1*p2*p3+d1+d2-1;If[PrimeQ[a-1]&&PrimeQ[a+1],AppendTo[lst,p2]],{n,8!}];lst