25261

Properties

Appears in sequences

• Expansion of e.g.f.: sinh(log(1 + sin(x))).at n=9A009567
• Numbers k such that the continued fraction for sqrt(k) has period 71.at n=23A020410
• Expansion of e.g.f. tan(x)*sin(x)/2 (even powers only).at n=5A024235
• Recursive prime generating sequence.at n=62A039726
• Primes for which the five closest primes are smaller.at n=14A075037
• a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n*floor(e*(n-1)!).at n=26A080770
• Primes of the form x^3+x^2+x+2.at n=10A088547
• a(n) = prevprime(A090117(n)), the largest prime previous to squares given in A090117, being such that distance of a(n) to the following prime equals 2*n.at n=19A090118
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 11.at n=10A109565
• Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 2 and repeat; as m = 1,2,3,.. the remaining terms form this sequence.at n=40A112560
• Apocalypse primes: 10^665+a(n) has 666 decimal digits and is prime.at n=14A115983
• Least positive k such that 10^n + {k, k+2, k+6, k+8} are all prime.at n=9A121066
• Numbers appearing in A122072 at least four times.at n=14A122390
• Primes p such that q-p = 40, where q is the next prime after p.at n=3A126721
• Primes p2 such that p1^3 + p2^2 is an average of twin primes and p1 < p2 are consecutive primes.at n=18A138755
• Primes of the form 2*n^2 + 22*n + 9.at n=15A154601
• Numbers k such that k^2+1 = 2p,(k+1)^2+1 = 5q, (k+2)^2+1 = 10r where p, q, and r are primes.at n=29A181619
• a(n) = n^3 - 2*n^2 + 2*n + 1.at n=29A188947
• Smallest prime that can be expressed as the sum of n distinct positive squares with the largest square as small as possible.at n=39A224498
• Primes p such that (p+nextprime(p))/2 is a perfect square.at n=22A225195