18289

Properties

Appears in sequences

• Primes that are palindromic in base 2 (but written here in base 10).at n=32A016041
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=32A031836
• First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=42A054808
• a(n) = |{m : multiplicative order of 5 mod m=n}|.at n=41A059887
• Balanced primes of order eight.at n=28A096700
• Numbers k such that sigma(k) plus the k-th prime is a triangular number.at n=41A115907
• Primes of the form 76x^2+20xy+145y^2.at n=36A140629
• Primes congruent to 58 mod 59.at n=31A142785
• Primes congruent to 50 mod 61.at n=34A142848
• Number of nonprime parts in the last section of the set of partitions of n.at n=34A144121
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, -1), (1, 0, 1), (1, 1, -1)}.at n=9A148746
• a(n) is the smallest n-digit prime term of A158594 and zero if there is no such number.at n=4A164328
• Number of (n+1) X 5 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=13A186457
• Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit.at n=24A215419
• Primes of the form 2*n^2 + 78*n + 37.at n=14A217501
• Primes of the form p(k)^2 + q(m)^2 with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009).at n=50A233346
• Primes p with P(p+1) also prime, where P(.) is the partition function (A000041).at n=13A234900
• Primes p such that A001175(p) = (p-1)/6.at n=18A308791
• Prime numbers congruent to 49 or 121 modulo 240 representable by x^2 + 150*y^2.at n=29A325089
• Prime numbers followed by two consecutive numbers which are products of four distinct primes (or tetraprimes).at n=3A362578