22303

Properties

Appears in sequences

• Largest prime == 7 (mod 8) with class number 2n+1.at n=21A002147
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones.at n=27A031854
• Numbers k such that 197*2^k+1 is prime.at n=14A032475
• Primes p such that the Fibonacci iterations starting with (1, p) lead to a "nine digits anagram".at n=2A034588
• Engel expansion of 2^(1/3) = 1.25992.at n=7A059178
• Let a(1)=1; for n>1, a(n)=nextprime((3/2)*a(n-1)).at n=22A084571
• Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 5 X 5 which is symmetric after a rotation by 180 degrees.at n=5A123845
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, 0), (1, 1, -1), (1, 1, 0), (1, 1, 1)}.at n=7A151184
• Partial sums of A151791.at n=41A151792
• Least prime of three consecutive primes (p1,p2,p3) such that p2-p1 and p3-p2 are both perfect squares.at n=3A161002
• The Riemann primes of the psi type and index 2.at n=42A197186
• Number of nondecreasing sequences of n 1..6 integers with no element dividing the sequence sum.at n=33A212866
• Primes p with property that there exists a number d>0 such that numbers p-k*d, k=1...7, are seven primes.at n=28A216590
• Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array.at n=13A219715
• Primes whose base-7 representation also is the base-3 representation of a prime.at n=27A235470
• Primes whose base-7 representation also is the base-4 representation of a prime.at n=54A235617
• Primes p such that each decimal digit of p is equal to the difference of two other digits of p.at n=15A255892
• Primes having only {0, 2, 3} as digits.at n=16A260125
• a(1) = 3; a(2) = 5; a(n+1) = a(n) + b(n), where b(n) = max {a(n-1)+-1, a(n-2)+-1, a(n-3)+-1, ..., a(1)+-1} such that a(n) + b(n) is a prime.at n=28A352952
• Number of integer partitions with sum <= n whose distinct parts can be linearly combined using nonnegative coefficients to obtain n.at n=29A365379