22741

Properties

Appears in sequences

• Expansion of 1/(1-x^2-x^3-x^4-x^5).at n=26A013982
• Consider all ways of writing a number as p+2m^2 where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number.at n=17A016067
• Smallest integer that can be expressed as p+2m^2 in more ways than any smaller number, where m >= 0 and p = 1 or prime.at n=38A055202
• a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=44A059605
• Numbers k such that 5*2^k + 7 is prime.at n=27A059748
• Smallest prime equal to the sum of 2n+1 consecutive primes.at n=41A070934
• Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=41A082244
• Smallest prime that is the sum of prime(n) consecutive primes.at n=22A082277
• Primes of the form 10k+1 generated recursively. Initial prime is 11. General term is a(n)=Min {p is prime; p divides (R^5 - 1)/(R - 1); Mod[p,5]=1}, where Q is the product of previous terms in the sequence and R = 5Q.at n=3A124991
• Primes congruent to 26 mod 59.at n=36A142753
• Primes congruent to 49 mod 61.at n=37A142847
• Primes in toothpick sequence A153006.at n=28A153009
• Primes p such that (p-1)*p*(p+1)-p+2 and (p-1)*p*(p+1)+p-2 are primes.at n=33A154944
• Primes of the form 7n^2 - 2.at n=13A201848
• Primes of the form kk*k+k+1, where kk is the concatenation of k with itself.at n=8A222962
• Primes of form n^2 + 14641.at n=10A256839
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 259", based on the 5-celled von Neumann neighborhood.at n=31A271056
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.at n=37A271459
• Expansion of Product_{k>=1} 1/(1 - k^2*x^k)^k.at n=8A285674
• Primes p such that A001175(p) = (p-1)/6.at n=27A308791