31181

Properties

Appears in sequences

• Primes of the form floor(n^e).at n=9A074222
• Expansion of (1-x)^(-1)/(1+2*x+x^2-2*x^3).at n=20A077928
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264].at n=30A078848
• Members of A083989 whose 10's complement is also a member of A083989.at n=25A083991
• Home primes whose homeliness is 4.at n=35A133962
• Number of partitions of n minus number of divisors of n.at n=38A144300
• a(1) = 3. For n > 1, Ulam's spiral is started with a(n-1), and the primes p on the NE spoke are considered. a(n) is the minimal p that is the lesser of a twin prime pair.at n=34A163586
• Number of partitions of n into square parts.at n=38A179662
• Primes p such that p+2, p+8, and p+12 are all prime.at n=38A233540
• Number of partitions of n with the property that if two summands have the same parity, then their frequencies have the same parity.at n=49A240949
• Number of partitions of n which are not the partitions into (one or more) consecutive parts.at n=38A282467
• Partial sums of A299256.at n=27A299262
• First lower diagonal of Parker's triangle A047812.at n=36A335323
• Primes p*A007953(p)+1 for p in A338976.at n=40A338977
• Primes p such that (p mod s) and (p mod t) are consecutive primes, where s is the sum of the digits of p and t is the product of the digits of p.at n=27A344127
• Irregular triangle read by rows where T(n,k) is the number of integer compositions of n with k weak excedances (parts on or above the diagonal), all zeros removed.at n=52A352525
• Number of signed permutations of length n+2 with adjacent elements differing by more than 1 whose first element is 1 and whose last element has absolute value n+2.at n=6A370768
• Primes p such that the 10's complement A089186(p) and the concatenations of p and A089186(p) and of A089186(p) and p are all prime.at n=22A372082
• Number of integer partitions of n whose run-sums are not all equal.at n=39A382076
• Primes which satisfy the requirements of A380943 in more than one way.at n=12A383810