61561

Properties

Appears in sequences

• Euler transform of Thue-Morse sequence A001285.at n=29A029877
• Primes p such that 12*p^3+-1 are twin primes.at n=34A158297
• Primes p such that (p+1)/2, (p+2)/3 and (p+3)/4 are also primes.at n=5A163573
• Primes of the form p=floor(T/6), T are triangular numbers.at n=40A171595
• a(n) = prime(n*prime(n)).at n=37A228529
• Primes whose base-3 representation also is the base-2 representation of a prime.at n=48A235265
• Centered 19-gonal (or nonadecagonal) primes.at n=13A264844
• Primes p such that 2*p + 79 is a square.at n=13A269790
• a(n) = A273059(4n+3).at n=43A275919
• Primes that can be generated by the concatenation in base 8, in ascending order, of two consecutive integers read in base 10.at n=24A287310
• Number of n X 4 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=4A300542
• Number of nX5 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=3A300543
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=31A300546
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=32A300546
• Numbers k such that -3 is a quadratic residue (not necessarily coprime) modulo k, k + 1, k + 2 and k + 3.at n=33A318527
• Numbers k such that tau(k) + tau(k+1) + tau(k+2) + tau(k+3) = 16, where tau is the number of divisors function A000005.at n=33A350686
• Lexicographically earliest sequence of prime numbers whose partial products, starting from the second, are all Fermat pseudoprimes to base 2 (A001567).at n=11A374028
• Lexicographically earliest strictly increasing sequence of prime numbers whose partial products, starting from the second, are all Fermat pseudoprimes to base 2 (A001567).at n=7A374029
• a(n) = coefficient of the term that is independent of 2^(1/3) and 2^(2/3) in the expansion of (1 + 2^(1/3) + 2^(2/3))^n.at n=9A377314
• Primes having only {1, 5, 6} as digits.at n=29A385779