Sequences
392,541 sequences
- Sum of n consecutive primes starting at a(n) is prime (or 0 if impossible).A007610
Sum of n consecutive primes starting at a(n) is prime (or 0 if impossible).
- a(n) = n! + 2^n.A007611
a(n) = n! + 2^n.
- a(n+1) = a(n) + digital root (A010888) of a(n).A007612
a(n+1) = a(n) + digital root (A010888) of a(n).
- a(n) = (8^n + 2*(-1)^n)/3.A007613
a(n) = (8^n + 2*(-1)^n)/3.
- All values attained by the phi(n) function, in ascending order.A007614
All values attained by the phi(n) function, in ascending order.
- Primes with unique period length (the periods are given in A007498).A007615
Primes with unique period length (the periods are given in A007498).
- Palindromic reflectable primes.A007616
Palindromic reflectable primes.
- Values not in range of Euler phi function.A007617
Values not in range of Euler phi function.
- a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.A007618
a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.
- Wilson quotients: ((p-1)! + 1)/p where p is the n-th prime.A007619
Wilson quotients: ((p-1)! + 1)/p where p is the n-th prime.
- Numbers m such that every k <= m is a sum of proper divisors of m (for m>1).A007620
Numbers m such that every k <= m is a sum of proper divisors of m (for m>1).
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).A007621
Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).
- Consider Leibniz's harmonic triangle (A003506) and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.A007622
Consider Leibniz's harmonic triangle (A003506) and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.
- Integers written in factorial base.A007623
Integers written in factorial base.
- Numbers m such that the product of proper divisors of m = m^k, k>1.A007624
Numbers m such that the product of proper divisors of m = m^k, k>1.
- Number of M-sequences from multicomplexes on at most 6 variables with no monomial of degree more than n-1.A007625
Number of M-sequences from multicomplexes on at most 6 variables with no monomial of degree more than n-1.
- Sum of divisors of superabundant numbers (A004394).A007626
Sum of divisors of superabundant numbers (A004394).
- Primitive modest numbers.A007627
Primitive modest numbers.
- Reflectable emirps.A007628
Reflectable emirps.
- Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers).A007629
Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers).
- Duplicate of A002562.A007630
Duplicate of A002562.
- Number of solutions to non-attacking reflecting queens problem.A007631
Number of solutions to non-attacking reflecting queens problem.
- Numbers that are palindromic in bases 2 and 10.A007632
Numbers that are palindromic in bases 2 and 10.
- Palindromic in bases 3 and 10.A007633
Palindromic in bases 3 and 10.
- Numbers k such that k^2 + k + 41 is composite.A007634
Numbers k such that k^2 + k + 41 is composite.
- Primes of form n^2 + n + 17.A007635
Primes of form n^2 + n + 17.
- Numbers k such that k^2 + k + 17 is composite.A007636
Numbers k such that k^2 + k + 17 is composite.
- Primes of form 3*k^2 - 3*k + 23.A007637
Primes of form 3*k^2 - 3*k + 23.
- Numbers k such that 3*k^2 - 3*k + 23 is composite.A007638
Numbers k such that 3*k^2 - 3*k + 23 is composite.
- Primes of form 2n^2 - 2n + 19.A007639
Primes of form 2n^2 - 2n + 19.
- Numbers k such that 2*k^2 - 2*k + 19 is composite.A007640
Numbers k such that 2*k^2 - 2*k + 19 is composite.
- Primes of the form 2*k^2 + 29.A007641
Primes of the form 2*k^2 + 29.
- Numbers k such that 2*k^2 +29 is composite.A007642
Numbers k such that 2*k^2 +29 is composite.
- Primes not of form | 3^x - 2^y |.A007643
Primes not of form | 3^x - 2^y |.
- Primes not of form | 3^a +- 2^b | where a, b are nonnegative integers.A007644
Primes not of form | 3^a +- 2^b | where a, b are nonnegative integers.
- Generalized cuban primes: primes of the form x^2 + xy + y^2; or primes of the form x^2 + 3*y^2; or primes == 0 or 1 (mod 3).A007645
Generalized cuban primes: primes of the form x^2 + xy + y^2; or primes of the form x^2 + 3*y^2; or primes == 0 or 1 (mod 3).
- Numbers k such that k*4^k + 1 is prime.A007646
Numbers k such that k*4^k + 1 is prime.
- Numbers k such that k*10^k + 1 is prime.A007647
Numbers k such that k*10^k + 1 is prime.
- Numbers k such that k*18^k + 1 is prime.A007648
Numbers k such that k*18^k + 1 is prime.
- Number of set-like molecular species of degree n.A007649
Number of set-like molecular species of degree n.
- Number of set-like atomic species of degree n.A007650
Number of set-like atomic species of degree n.
- Describe the previous term! (method B - initial term is 1).A007651
Describe the previous term! (method B - initial term is 1).
- Final digit of prime(n).A007652
Final digit of prime(n).
- Coefficients of L-series for elliptic curve "37a1": y^2 + y = x^3 - x.A007653
Coefficients of L-series for elliptic curve "37a1": y^2 + y = x^3 - x.
- Numbers k such that the standard deviation of 1,...,k is an integer.A007654
Numbers k such that the standard deviation of 1,...,k is an integer.
- Standard deviation of A007654.A007655
Standard deviation of A007654.
- Mass number of the most abundant isotope of the element with atomic number Z = n.A007656
Mass number of the most abundant isotope of the element with atomic number Z = n.
- Maximal coefficient in (x + x^2 + x^4 + x^8 + ...)^n.A007657
Maximal coefficient in (x + x^2 + x^4 + x^8 + ...)^n.
- Numbers k such that (3^k + 1)/4 is prime.A007658
Numbers k such that (3^k + 1)/4 is prime.
- Primes p such that Ramanujan number tau(p) is divisible by p.A007659
Primes p such that Ramanujan number tau(p) is divisible by p.