19273

Properties

Appears in sequences

• Primes that are palindromic in base 11.at n=28A029978
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 74 ones.at n=23A031842
• Prime number spiral (clockwise, West spoke).at n=23A054570
• a(n) = prime(3^n - 1).at n=6A095120
• The largest prime in the first set of n consecutive primes for which p+4 is semiprime.at n=7A137626
• Primes of the form x^2 + 1848*y^2.at n=52A139668
• Primes of the form 57x^2+18xy+193y^2.at n=33A140631
• Primes congruent to 39 mod 59.at n=37A142766
• Primes congruent to 58 mod 61.at n=32A142856
• Collatz (or 3x+1) trajectory starting at 703.at n=34A161021
• Primes remaining primes under map 2<=>9 (interchange of decimal digits 2 and 9).at n=37A198146
• Primes whose binary and ternary representations are also prime when read in decimal.at n=28A236537
• Number of n X 3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=16A241351
• Primes of the form 9x^2 + 6xy + 1849y^2.at n=45A244019
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood.at n=44A273760
• Number of connected dominating sets on the n-Moebius ladder.at n=8A287005
• Primes p such that (p+nextprime(p))/6 is prime and 6*p is the sum of two consecutive primes.at n=16A339775
• Number of integer partitions of n with reverse-alternating sum >= 0.at n=40A344607
• Number of integer partitions of 2n with reverse-alternating sum >= 0.at n=20A344611
• Arises from enumeration of a certain class of zig-zag knight's paths on the square grid.at n=26A368377