33199

Properties

Appears in sequences

• First term of weak prime sextet: 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).at n=11A054828
• Primes of the form (k+1)*prime(k) + k*prime(k+1).at n=21A097241
• a(n) = Sum {k + j*m <= n} (k + j*m), with 0 < k,j,m <= n.at n=31A106847
• Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=29A108388
• Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=36A114923
• Binomial transform of [1, 4, 10, 20, 0, 0, 0, ...].at n=22A143131
• Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=32A160440
• Number of nX5 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=6A281136
• Number of n X 7 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=4A281138
• Smaller term p1 of the first of two consecutive cousin prime pairs (p1,p1+4) and (p2,p2+4) such that the distance (p2-p1) is a square.at n=35A339084
• Numerators of the partial sums of the reciprocals of the 3rd Piltz function d_3(n) (A007425).at n=47A379357
• Primes with at least two identical trailing digits and at least two identical leading digits.at n=21A384015
• Primes p for which there exists more than one triple of primes q, r, s such that p^3 = q^3 + r^3 + s^3.at n=1A384553
• Prime numbersat n=3558