29537

Properties

Appears in sequences

• a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=34A050035
• Smallest prime p such that A000120(nextprime(p)) - A000120(p) = n.at n=4A069576
• Prime(n) and prime(n+3) use the same digits.at n=33A069795
• Table T(m,n) = (3^m + 5^n)/2, for m, n = 0, 2, 4, 6, ... read by antidiagonals downwards.at n=26A081458
• Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=38A092946
• Balanced primes of order six.at n=24A096698
• Sequence of Chen primes of the form (x*n+1)*(y*n+1)-2 in the order generated by A112229.at n=26A112230
• Primes p such that q-p = 30, where q is the next prime after p.at n=37A124596
• Numbers k such that (4^k + 5^k)/9 is prime.at n=11A128335
• Primes A080478(n)^2 + A080478(n+1)^2.at n=20A139361
• Numbers with d digits (d>0) which have at least 2d distinct primes as substrings.at n=33A168167
• Primes with nine embedded primes.at n=15A179917
• Numbers of the form (5^j + 9^k)/2, for j and k >= 0.at n=37A226794
• Primes of the form (k^2+7)/11.at n=28A242930
• Smallest prime modulus p such that there exists a multiplicative-coset Ramsey algebra in n colors over Z/pZ, or 0 if no such prime exists.at n=51A263308
• Smallest of 4 consecutive prime numbers that when represented as a simple continued fraction, generates prime numbers in the numerator and denominator, when reduced.at n=24A270884
• Primes p_1 where products m of k = 5 consecutive primes p_1..p_k are such that only p_1 < m^(1/k).at n=35A376136
• Prime numbersat n=3207