32237

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 91.at n=22A020430
• Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=28A022464
• a(n) = [ (3rd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+2 primes}.at n=15A024453
• Sequence (a(n): n >= 1) that shifts left 2 places under the "CHK" (necklace, identity, unlabeled) transform and has initial terms a(1) = a(2) = 1.at n=17A032173
• Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=28A050268
• Primes with every digit a prime and the sum of the digits a prime.at n=44A062088
• a(1) = 2; a(2n) = smallest prime starting (the most significant digits) with a(2n-1) (i.e., as a right concatenation of a(2n-1) and a number with no insignificant zeros); a(2n+1) = smallest prime ending in (the least significant digits) a(2n-1). Alternate left and right concatenation yielding primes.at n=4A069614
• a(1) = 2; a(2n) = smallest prime starting (most significant digits) with a(2n-1). a(2n+1) = smallest prime ending (least significant digits)in a(2n).at n=4A069629
• Larger of a pair of consecutive primes having only prime digits.at n=16A082756
• Primes that are either single-digit primes or a concatenation of two earlier terms.at n=29A104179
• Primes with a prime number of digits, all of them prime, that add up to a prime.at n=19A110028
• a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=42A117081
• A monotonic doubly-fractal sequence. Erase the last (rightmost) digit of every integer: what is left is the sequence itself. The erased digits, one by one, form also the sequence itself.at n=38A127204
• a(n) is the n-th J_6-prime (Josephus_6 prime).at n=19A163786
• Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 7.at n=28A185037
• Number of disconnected 3-regular simple graphs on 2n vertices with girth at least 7.at n=28A185237
• Integers k such that 2^(k-1) == 1 (mod k) and 2^(m-1) == 1 (mod m), where m = k*(A000265(k-1) - 1) + 1 and A000265 gives the odd part of its argument.at n=21A187849
• Primes p=u^2+v^2 such that p+u or p+v is the next prime after p.at n=31A213996
• Primes that contain only the digits (2, 3, 7).at n=42A214704
• Primes that are the sum of 51 consecutive primes.at n=23A215992