31477
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Upper prime of a record difference between it and the second prime before it.at n=18A031134
- Denominators of continued fraction convergents to sqrt(673).at n=9A042295
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 2.at n=7A050664
- Smallest prime which occurs exactly n times in the sequence A086527.at n=28A086528
- Numbers n such that the numbers of divisors of n,n+1,n+2 and n+3 are k,2k,4k,8k respectively for some k.at n=15A100364
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=27A103807
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=35A137474
- Expansion of x/((1 - x - x^4)*(1 - x)^5).at n=16A145134
- Number of c-squarefree numbers (A233564) less than 2^n.at n=25A229898
- a(n) is a prime number that cannot be the center term of a length 3 arithmetic progression prime group with a common difference whose number of runs in binary expansion is 2.at n=32A231387
- Primes of form n^2 + 28561.at n=9A256841
- Capped binary boundary codes for holeless strictly non-overlapping polyhexes (all orientations and rotations included).at n=33A258002
- Capped binary boundary codes for fusenes (all orientations and rotations included).at n=33A258012
- Primes that can be generated by the concatenation in base 3, in ascending order, of two consecutive integers read in base 10.at n=39A287300
- Numbers n such that there is precisely 1 group of order n, 2 of order n + 1 and 3 of order n + 2.at n=20A296024
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2)*b(n-1)*b(n), where a(0) = 2, a(1) = 3, b(0) = 1, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=11A296281
- Smaller term p1 of the first of two consecutive cousin prime pairs (p1,p1+4) and (p2,p2+4) such that the distance (p2-p1) is a square.at n=30A339084
- The number of n-cell polyominoes with a line of symmetry parallel to the edges.at n=18A343562
- Prime numbersat n=3387