128981

Properties

Appears in sequences

• a(n) is the smallest prime p(k) such that the gaps between the primes p(k), p(k+1), p(k+2), ..., p(k+n) are 2, 4, 6, ... 2n.at n=5A016045
• a(n) is the smallest prime p(k) such that the gaps between the primes p(k), p(k+1), p(k+2), ..., p(k+n) are 2, 4, 6, ... 2n.at n=6A016045
• First term of weak prime septet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4) < p(m+6)-p(m+5).at n=4A054834
• Primes which can be represented as the sum of a triangular number and its reverse.at n=12A072386
• Triangle read by rows in which the n-th row contains the least set of n successive primes whose successive difference forms an arithmetic progression with common difference 2, (successive even numbers).at n=28A094749
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..6.at n=8A144051
• First primes followed by sequences of exactly n monotonic increasing prime gaps.at n=6A158939
• Primes of the form p^2+100, where p is prime.at n=32A182476
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=38A187057
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..5.at n=16A187058
• Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..7.at n=5A187060
• Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8.at n=19A190814
• Initial primes of 6 consecutive primes with consecutive gaps 2,4,6,8,10.at n=5A190817
• Initial primes of 7 consecutive primes with consecutive gaps 2, 4, 6, 8, 10, 12.at n=0A190819
• Initial primes of 8 consecutive primes with 7 consecutive gaps 2, 4, 6, 8, 10, 12, 14.at n=0A190838
• Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,0,2,2,2,0 for x=0,1,2,3,4,5,6.at n=5A203212
• Prime numbers p such that x^2 + x + p produces primes for x = 0..7 but not x = 8.at n=2A211236
• Least prime p = prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2 + q^2, where q > prime(n+3) is also prime.at n=33A263724
• a(n) is the smallest prime followed by n prime gaps in arithmetic progression with a common difference of 2.at n=6A348927
• a(n) is the smallest prime p, such that p + k + k^2 are consecutive primes for 0 <= k <= n, but not for k>n.at n=6A349121