524309

Properties

Appears in sequences

• Next prime after 2^n.at n=19A014210
• a(n) = 1 + 2^(n-1) + n for n > 0, a(0) = 2.at n=20A052968
• Prime following the n-th Mersenne prime.at n=6A074626
• Smallest prime >= 2^n.at n=19A104080
• Primes of the form 2^k + 21.at n=9A156983
• Primes of the form 2^x+x*y+2^y, with x and y integers of any sign.at n=20A162573
• Primes of the form 2^n + n + 2.at n=5A187733
• a(0)=1; for n > 0, a(n) = next prime after 2^(n-1).at n=20A203074
• Primes representable as p^q + p + q, where p and q are primes.at n=12A249444
• a(n) is the smallest prime greater than 2^n such that 2 is a primitive root modulo a(n).at n=19A250396
• Primes representable as x^y + x + y, where x>1, y>1 are integers.at n=26A253776
• Numbers n such that a digit of n to the power k plus the sum of the other digits of n equals n, where k is a positive integer.at n=48A257860
• Positions of 0 in A288381; complement of A288383.at n=21A288382
• a(n) is the least prime power (A246655) P such that P-n is the next smaller prime power below P.at n=20A373334
• Least number that is the lesser of two consecutive primes p and q whose binary expansions have the same length and agree at exactly n digit positions, or -1 if no such prime pair exists.at n=18A374402
• Least prime power > 2^n.at n=19A378252
• Prime numbersat n=43391