37537

Properties

Appears in sequences

• Euclid-Mullin sequence (A000945) with initial value a(1)=89 instead of a(1)=2.at n=41A051328
• Primes having only {3, 5, 7} as digits.at n=41A087363
• Primes of the form 2*p^2 - 1, where p is prime.at n=13A092057
• (2n+1)-digit anti-palindromic numbers or numberdromes, whose first and last digits add to ten, second and next-to-last add to ten and so on with the central digit a 5.at n=33A093472
• a(1)=2. a(n) is the a(n-1)st integer from among those positive integers coprime to a(n-1).at n=21A126882
• a(n) = 128*n^2 + 32*n + 1.at n=16A157337
• 128n^2 + 2336n + 10657.at n=7A157433
• Primes of the form 2*p^k-1, where p is prime and k > 1.at n=23A178491
• a(n) = 2*prime(n)^2 - 1.at n=32A179262
• Primes of the form abcabc..abcab.at n=29A228627
• Primes of form n^2 + 6561.at n=19A256837
• Centered 16-gonal (or hexadecagonal) primes.at n=27A264823
• Primes p such that 2*p + 1 is abundant.at n=43A267476
• E.g.f. A(x) satisfies: [x^n] A(x)^(n*(n+1)) = n*(n+1) * [x^(n-1)] A(x)^(n*(n+1)) for n>=1.at n=4A300870
• Expansion of Sum_{k>=0} k! * x^(k*(k+1)/2) / Product_{j=1..k} (1 - x^j)^j.at n=23A306665
• Numerator of best rational approximation x/y of sqrt(k), y<=k, with k given by A306972. The corresponding denominators are given in A306974.at n=35A306973
• Squarefree k > 1 with sigma(sigma(sigma(k))) < 3*k + 1.at n=39A320513
• Prime k with sigma(sigma(sigma(k))) < 3*k + 1.at n=19A320517
• Numbers of the form (k^2 - 2) / 2 where k - 1 and k + 1 are both odd composite numbers.at n=40A339480
• Sum of the legs of the unique primitive Pythagorean triple whose inradius is A000217(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=16A383834