36433

Properties

Appears in sequences

• Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention.at n=30A046931
• Numbers k such that 33^k - 32^k is prime.at n=5A062599
• a(n) = 5^n mod n^5.at n=11A066609
• Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=19A176111
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (r-q)/(q-p) has denominator n in lowest terms.at n=21A179234
• Primes having only {3, 4, 6} as digits.at n=17A199346
• Primes with nonzero digits such that sum of cubes of digits equal to square of sums.at n=13A225567
• a(0) = 3, then a(n) is the least prime greater than a(n-1) that follows a gap of exactly 2*n.at n=22A253899
• Happy Honaker primes.at n=34A343192
• A373711(n) is equal to the a(n)-th A379973(n)-gonal number.at n=44A379974
• Primes having only {0, 3, 4, 6} as digits.at n=27A386057
• Primes having only {3, 4, 5, 6} as digits.at n=40A386169
• Primes having only {3, 4, 6, 8} as digits.at n=37A386174
• Prime numbersat n=3862