18353

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 8x + 9.at n=10A023295
• Least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 4th elementary symmetric function.at n=19A027918
• Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=7A052356
• Starting positions of strings of three 5's in the decimal expansion of Pi.at n=13A083620
• Prime numbers p such that pi(p) + 2*p is a square.at n=17A104783
• Primes which are the sum of the first k nonprimes for some k >= 2.at n=18A128927
• Father primes of order 11.at n=19A136080
• Primes congruent to 15 mod 53.at n=40A142545
• Primes congruent to 4 mod 59.at n=36A142731
• Primes congruent to 53 mod 61.at n=35A142851
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 13: primes in A333640.at n=42A146358
• Smallest prime(k) such that the concatenation prime(k)//prime(k+1)//...//prime(k+n-1) represents an emirp.at n=13A173448
• Numbers k such that the digit sum of 167^k is divisible by k.at n=33A175552
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k nonincreasing even cycles (0<=k<=floor(n/4)). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be even if it has an even number of entries. For example, the permutation (1528)(347)(6) has 1 nonincreasing even cycles.at n=13A186769
• Primes p such that the least k with p+k and p+2k both prime sets a new record.at n=15A190423
• Number of (w,x,y,z) with all terms in {1,...,n} and w*x>y*z+2.at n=14A212056
• Floor of the solutions to c = exp(1 + n/c) for n >= 0, using recursion.at n=24A234604
• Lesser of consecutive primes whose average is an oblong number.at n=33A242383
• Intersection of A251964, A252280 and A252281.at n=31A252283
• Expansion of (1-sqrt(1-4*(x+x^2)^2))/(2*(x+x^2)^2).at n=14A256169