32797

Properties

Appears in sequences

• Primes that remain prime through 4 iterations of function f(x) = 2x + 5.at n=20A023304
• G:=1/product((1-x^(3k-2))*(1-x^(3k-1))^2*(1-x^(3k))^3,k=1..infinity).at n=24A029864
• a(n) = 2^n + 2*n - 1.at n=15A061761
• Start with Pascal's triangle; form a triangle by sliding down n steps from top on both sides and including the horizontal row, deleting the inner numbers; a(n) = sum of entries on perimeter of triangle.at n=15A081494
• Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.at n=17A123107
• Binary transpose primes. Integers of k^2 bits which, when written row by row as a square matrix and then read column by column, are primes once transformed.at n=28A155967
• Primes of the form 2^k + 29.at n=6A156974
• a(n) = 62*n^2 - 1.at n=22A158680
• Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=31A160440
• Primes of the form n+(n+3)^3, n>=0.at n=9A162004
• Primes of the form 2^x+2*x+y+2^y, with x and y integers of any sign.at n=33A162575
• Primes of the form 2^k + 2k - 1.at n=8A173168
• Coefficient of x in the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=19A192953
• Primes of the form 5n^2 - 8.at n=5A201789
• Minimal number (in decimal representation) with n nonprime substrings in base-8 representation (substrings with leading zeros are considered to be nonprime).at n=16A217108
• Primes p with pi(p) and pi(p^2) both prime, where pi(.) is given by A000720.at n=34A237659
• Primes p with pi(p), pi(pi(p)) and pi(p^2) all prime, where pi(.) is given by A000720.at n=8A237687
• Least prime p such that p+n is product of (n+1) primes (with multiplicity).at n=8A255092
• Primes of the form 2^x + y (x >= 0 and 0 <= y < 2^x) such that all the numbers 2^(x+a) + (y-a) (0 < a <= y) are composite.at n=31A264866
• Primes p where q = p + 4 is also prime and rad((p+1)(p+2)(p+3)) < pq, where rad(k) is the largest squarefree number dividing k.at n=17A268350