70001
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Start with the prime 11; next prime must exceed previous prime and start with last digit of previous prime.at n=10A054262
- a(1) = 2; a(n+1) = smallest prime > a(n) with leading digit equal to final digit of a(n).at n=10A061448
- Smallest prime in which the n-th significant digit is a 7.at n=4A069591
- Smallest prime == 1 mod (10^n).at n=3A070854
- Numbers n such that there are (presumably) nine palindromes in the Reverse and Add! trajectory of n.at n=12A090070
- Reverse digits of largest primes, append to sequence if result is larger prime then previous one with reverse digits.at n=20A098922
- Take the n-th pair of consecutive digits of the sequence and form their absolute difference; the result is the n-th digit of the sequence; a(n) < a(n+1).at n=15A102694
- Primes in increasing order with most significant digit following the cyclic pattern 2,3,5,7,2,3,5,7,2,3,5,7,...at n=19A113611
- Primes of the form 2^a * 5^b * 7^c + 1 for positive a, b, c.at n=14A114992
- Reverse digits of largest Chen primes, append to sequence if result is larger Chen prime then previous one with reverse digits.at n=17A118496
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 7 and 9.at n=34A136865
- Emirps of the form k^2 + k + 41.at n=33A155953
- Primes of the form 1000*k + 1.at n=15A156655
- Naughty primes: primes in which the number of zeros is greater than the number of all other digits.at n=3A164968
- Primes having only {0, 1, 7} as digits.at n=30A199327
- a(n) = 7*10^n + 1.at n=4A199687
- Primes of the form 7n^2 + 1.at n=24A201602
- a(n) = 5^n - ( (sqrt(5)*phi)^n + (sqrt(5)/phi)^n ) + 1, where phi = golden ratio A001622.at n=7A245561
- Primes of form n^2 + 2401.at n=29A256835
- Larger of emirp pairs that are merely reversals of their end digits.at n=34A263242