Sequences

Lucky numbers that are the smallest decimal concatenations of n with n + (0,1,2,3,...).

a(n) is the least k such that k concatenated with k + n is prime.

Primes that are the smallest decimal concatenations of n with n + (0,1,2,3,...).

Digit '1' concatenated with a(n) is a prime.

Digit '2' concatenated with a(n) is a prime.

Digit '3' concatenated with a(n) is a prime.

Digit '4' concatenated with a(n) is a prime.

Digit '5' concatenated with a(n) is a prime.

Digit '6' concatenated with n is a prime.

Digit '7' concatenated with a(n) is a prime.

Digit '8' concatenated with a(n) is a prime.

Digit '9' concatenated with a(n) is a prime.

Digit '1' concatenated with a(n) is a lucky number.

Digit '2' concatenated with a(n) is a lucky number.

Digit '3' concatenated with a(n) is a lucky number.

Digit '4' concatenated with a(n) is a lucky number.

Digit '5' concatenated with n is a lucky number.

Digit '6' concatenated with a(n) is a lucky number.

Digit '7' concatenated with a(n) is a lucky number.

Digit '8' concatenated with a(n) is a lucky number.

Digit '9' concatenated with a(n) is a lucky number.

Numbers k such that k surrounded by digit '1' is a prime.

Numbers k such that k surrounded by digit '3' is a prime.

Numbers k such that k surrounded by digit '7' is prime.

Numbers k such that k surrounded by digit '9' is a prime.

Numbers k such that k surrounded by digit '1' is a lucky number.

Numbers k such that k surrounded by digit '3' is a lucky number.

Numbers k such that k surrounded by digit '5' is a lucky number.

Numbers k such that k surrounded by digit '7' is a lucky number.

Numbers k such that k surrounded by digit '9' is a lucky number.

Exactly 1 digit from {1,2,3,4,5,6,7,8,9} can precede a term to form a prime.

Exactly 2 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.

Exactly 3 digits from {1,2,3,4,5,6,7,8,9} can precede a term to form a prime.

Exactly 4 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.

Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.

Exactly 6 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.

Exactly 1 digit from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.

Exactly 2 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.

Exactly 3 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.

Exactly 4 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.

Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.

Numbers k such that k prefixed by '2' and followed by '1' is prime.

Numbers k such that k prefixed by '3' and followed by '1' is prime.

Numbers k such that k prefixed by '4' and followed by '1' is prime.

Numbers k such that k prefixed by '5' and followed by '1' is prime.

Numbers k such that k prefixed by '6' and followed by '1' is prime.

Numbers k such that k prefixed by '7' and followed by '1' is prime.

Numbers k such that k prefixed by '8' and followed by '1' is prime.

Numbers k such that k prefixed by '9' and followed by '1' is prime.

Numbers k such that k prefixed by '1' and followed by '3' is prime.