30133

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 71.at n=31A020410
• Primes prime(k) for which A049076(k) = 4.at n=14A049080
• Primes for which A049076 >= 4.at n=23A049090
• Numbers n such that (5^n+1)/6 is a prime.at n=8A057171
• Primes starting and ending with 3.at n=36A062333
• Zsigmondy numbers for a = 7, b = 5: Zs(n, 7, 5) is the greatest divisor of 7^n - 5^n that is relatively prime to 7^m - 5^m for all positive integers m < n.at n=17A109349
• Prime numbers p such that p +- ((p-1)/3) are primes.at n=27A137703
• Primes of the form p + (p^2 - 1)/8, where p is also prime.at n=23A165352
• Primes with exactly three 3's.at n=28A178552
• Primes of the form 8*k^2 + 6*k - 1 for positive k.at n=32A187677
• Primes of the form x^3 + y^3 - 1, where x and y are primes.at n=7A217718
• a(n) = binary code (shown here in decimal) of the position of natural number n in the beanstalk-tree A218778.at n=38A218614
• a(n) = binary code (shown here in decimal) of the position of the predecessor of the natural number pair (2n,2n+1) in the compact beanstalk-tree A218782.at n=20A218790
• Primes whose digits add to 10 and which have a 3 in the tens place.at n=13A227825
• Number of partitions of n having standard deviation σ > 2.at n=39A238661
• Fixed points of A245821 and A245822.at n=27A245823
• Non-palindromic balanced primes in base 16.at n=40A256090
• Primes having only {0, 1, 3} as digits.at n=44A260044
• Denominators of upper primes-only best approximates (POBAs) to sqrt(8); see Comments.at n=14A265793
• The first of three consecutive primes the sum of which is equal to the sum of three consecutive hexagonal numbers.at n=7A298273