40897

Properties

Appears in sequences

• Numerators of continued fraction convergents to sqrt(142).at n=7A041260
• Numerators of continued fraction convergents to sqrt(568).at n=7A042088
• Third row of Pascal-(1,7,1) array A081582.at n=36A081593
• Initial terms of chains consisting of four consecutive integers, for none of which is the value of sigma-function divisible by six.at n=8A097020
• Primes of the form 648*k^2 - 72*k + 1.at n=2A154511
• a(n) = 648*n^2 - 72*n + 1.at n=7A154514
• Primes p such that both p^5 - 6 and p^5 + 6 are prime.at n=18A157256
• a(n) = 10368*n^2 - 288*n + 1.at n=1A157288
• a(n) = 128*n^2 - 32*n + 1.at n=17A157331
• a(n) = 128*n^2 + 2528*n + 12481.at n=7A157436
• Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=29A160370
• a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + 3*a(n-5) with a(0) = a(1) = a(2) = a(3) = a(4) = 1.at n=16A247584
• Primes p such that p^3 is the concatenation of two k-digit primes where k is half the number of decimal digits in p^3.at n=15A248208
• Primes of form n^2 + 1296.at n=21A256834
• Centered 16-gonal (or hexadecagonal) primes.at n=29A264823
• Numbers whose septenary, octal and nonary representations are prime when read in decimal.at n=29A281252
• Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero.at n=18A298489
• 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=36A306973
• Primes that are values of A215240.at n=14A320041
• Primes that are palindromic in factorial base.at n=24A333421