30097

Properties

Appears in sequences

• Primes p from A031924 such that A052180(primepi(p)) = 31.at n=11A052237
• Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=17A054801
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=20A078858
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,4,6).at n=5A078967
• Primes of the form k^2 - 7*k + 7.at n=36A089376
• Numbers p such that p = (prime(n)+ prime(n+2))/2 is prime for prime indices n=2, 3, 5...at n=29A098038
• Primes whose digit reversal is a triangular number.at n=11A115705
• Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=22A160370
• Primes of the form 1 + prime(k) + (prime(k+1))^2, any k.at n=6A165613
• Numbers k such that k and k+6 are both balanced primes.at n=17A173892
• Primes of the form 13*n^2+3*n+1.at n=25A176783
• First primes of arithmetic progressions of 7 primes each with the common difference 210.at n=21A227282
• First primes of arithmetic progressions of 8 primes each with the common difference 210.at n=9A227283
• Primes prime(k) such that 2^k + prime(k) is also prime.at n=21A242944
• Primes of the form 9x^2 + 6xy + 1849y^2.at n=55A244019
• Primes p such that (q*s-p*r)/2 and |p*s-q*r|/2 are both prime, where p,q,r,s are consecutive primes.at n=33A341802
• Smallest k such that in the pairs of numbers j*k +- 1, none is prime for 1 <= j < n but at least one is prime for j = n; or 0 if no such k exists.at n=31A348347
• First of three consecutive primes p, q, r, such that the reverse of p+q+r is divisible by at least one of p, q and r.at n=9A359174
• Prime numbersat n=3254