54773

Properties

Appears in sequences

• a(n) is root of square starting with digit 3: first term of runs.at n=8A035070
• Least number k such that k! in binary representation contains a run of exactly n consecutive ones.at n=30A094009
• Primes p whose Zeckendorf-expansion A014417(p) is palindromic.at n=17A095730
• Beginning with 3, least prime such that concatenation of first n terms and its digit reversal both are primes.at n=37A113584
• Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes.at n=13A129191
• Prime numbers p such that 2*p+1, p*(p + 1) - 1 and p*(p + 1) + 1 are also primes.at n=19A136015
• Number of zero-sum n X n -1..1 arrays with every element equal to at least one horizontal or vertical neighbor.at n=3A201839
• Number of zero-sum n X 4 -1..1 arrays with every element equal to at least one horizontal or vertical neighbor.at n=3A201843
• T(n,k)=Number of zero-sum nXk -1..1 arrays with every element equal to at least one horizontal or vertical neighbor.at n=24A201847
• Primes that are the sum of the squares of three integers that form an arithmetic sequence with difference 7.at n=15A227994
• Primes of the form k^2 + 17.at n=12A228244
• Strong (2,3,5)-primes (see comments).at n=31A262727
• (2,3,5,7)-primes (see comments for precise definition).at n=26A262728
• Sophie Germain primes p such that p+6 and p-6 are primes.at n=38A278869
• Number of n X 4 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s.at n=4A295271
• Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s.at n=3A295272
• T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s.at n=31A295275
• T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s.at n=32A295275
• Square array read by antidiagonals downwards: for n >= 2, T(k,n) is the number of permutations of [k+n] that differ in every position from both the identity permutation and a permutation consisting of k 1-cycles and one n-cycle.at n=47A335391
• Prime numbersat n=5572