41863

Properties

Appears in sequences

• Primes p = prime(k) such that prime(k) + prime(k+7) = prime(k+1) + prime(k+6) = prime(k+2) + prime(k+5) = prime(k+3) + prime(k+4).at n=11A064102
• Home primes whose homeliness is greater than 5.at n=20A133965
• Home primes whose homeliness is 6.at n=10A133966
• The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=53A139602
• a(1) = 7; for n > 1, a(n) = smallest prime strictly greater than sum of previous terms.at n=13A165549
• Number of 1's in n-th string when A000002 is expressed as 1, 2, 2, 11, 21, 221, 22112, 11221211, 21221121121, 2212211212212112, ....at n=28A334955
• a(n) = n*A340339(n)+b, where b = 1 if n is even or 2 if n is odd.at n=40A340340
• Numerators of the partial sums of the reciprocals of the squarefree kernel function (A007947).at n=13A379367
• Smallest prime in a sequence of n consecutive primes which add to a perfect cube.at n=28A382226
• Prime numbersat n=4376