22993

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=35A031422
• Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=5A054814
• Smallest prime (or noncomposite) strictly greater than sum of previous terms (with a(0)=1).at n=14A064934
• Let p = n-th irregular prime, A000928(n). Then a(n) = smallest value of m such that numerator(Bernoulli(2*m)/(2*m)) / numerator(Bernoulli(2*m)/(2*m*(2*m-1))) equals p.at n=29A092291
• a(n) = round( (sqrt n)^(sqrt n) ).at n=32A094054
• a(n) = floor(sqrt(n)^sqrt(n)).at n=32A094092
• New factors appearing in the factorization of 5^k - 2^k as k increases.at n=19A109291
• a(1)=2; a(n)=smallest prime not less than the sum of all previous terms.at n=14A112527
• Primes p such that their cubes are pandigital.at n=18A124629
• Indices of records in A157190: prime(a(n)) can be written in more ways as pq-p-q (p,q, prime) than any smaller prime.at n=11A157191
• Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries.at n=23A160500
• Partial sums of cuban primes A002407, that is, primes equal to the difference of two consecutive cubes.at n=18A221793
• Initial primes of sets of 8 consecutive primes all different by modulo 30.at n=44A248199
• Primes having only {2, 3, 9} as digits.at n=30A260128
• Number of primes between n and 2^n exclusive.at n=17A284275
• Number of primes between n and 2^n inclusive.at n=18A284437
• Sorted list of prime factors of numbers of the form 5^(2^m) + 2^(2^m) with m >= 0.at n=8A294133
• Primes p whose last digit is the same as that of both its predecessor prime and its successor prime.at n=21A298075
• a(n) is the largest prime factor of 2^n + 5^n.at n=8A337429
• Maximum of the absolute value of the coefficients of (1 - x) * (1 - x^4) * (1 - x^9) * ... * (1 - x^(n^2)).at n=50A369986