24443

Properties

Appears in sequences

• Primes with either no internal digits or all internal digits are 4.at n=53A069679
• Smallest prime == 1 (mod n-th unary number U(n) = (10^n-1)/9).at n=3A083808
• Primes whose decimal representation is a valid number in base 5 and interpreted as such is again a prime.at n=42A090708
• Sequence arising from enumeration of domino tilings of Aztec Pillow-like regions.at n=11A092442
• Primes such that the outer 2 digits are n and n+1 and all inner digits are 4, where 0 < n < 9.at n=1A108821
• Primes arising as the 10's complement of A109862(n).at n=24A109863
• Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=31A123597
• Primes p such that q-p = 26, where q is the next prime after p.at n=11A124594
• Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube and denominator Sum_{k=1..p-1} 1/k^4 is a fourth power.at n=21A127062
• a(n) = 5*a(n-1) + A047201(n), a(1) = 1. A047201 = numbers not divisible by 5: (1, 2, 3, 4, 6, 7, 8, 9, 11, ...).at n=6A141845
• Primes p such that 4*p and 6*p are each the sum of two consecutive primes.at n=37A164133
• Primes containing the string 444.at n=4A166582
• Primes having only {2, 3, 4} as digits.at n=20A199342
• Primes p such that phi(p+1) = phi(phi(p-1)+1).at n=8A271655
• Primes p such that neither g-1 nor g+1 is prime, where g is the gap from p to the next prime.at n=20A355485
• Beginning with 7, least prime such that concatenation of first n terms and its digit reversal both are primes.at n=22A379761
• Primes having only {0, 2, 3, 4} as digits.at n=37A386041
• Primes having only {2, 3, 4, 5} as digits.at n=35A386139
• Primes having only {2, 3, 4, 6} as digits.at n=39A386140
• Primes having only {2, 3, 4, 8} as digits.at n=39A386142