## Prime number 237373

237373   is a 6-digit prime number where all its digits are prime and every pair of consecutive digits is a prime.

Here’s another example,   537373

It’s a 6-digit prime number that shares the same properties.

237373737373   is a 12-digit prime number with the same properties.

math grad - Interest: Number theory
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### 10 Responses to Prime number 237373

1. K.D. BAJPAI says:

The next such prime found has 42 digits:
237373737373737373737373737373737373737373

2. K.D. BAJPAI says:

And for another prime number (537373), the next such prime found has 26 digits:
53737373737373737373737373

3. K.D. BAJPAI says:

One more example for (537373) has 44 digits :
53737373737373737373737373737373737373737373

4. K.D. BAJPAI says:

Added one more example for (537373) that has 48 digits :
537373737373737373737373737373737373737373737373

5. paul says:

Here are the 6 to 12 digit primes whos digits are prime and each consecutive 3 digits are prime.

{727733}
{5577337}, {5773373}
{55773373}
{257733733}, {773373373}
{2577337337}
{52337337337}
{277337337337}, {577337337337}

Paul.

6. K.D. BAJPAI says:

Another similar set of primes whose digits are prime and every pair of consecutive digits is a prime.
{73373737}, 8-digit
{73373737373737}, 14-digit
{7337373737373737373737373737373737373737373737}, 46-digit
{73373737373737373737373737373737373737373737373737373737373737}, 62-digit. It is the largest prime of this form less than a googol.

7. paul says:

The next few are with digit length 140, 292 and 638 and no more up to 2000 digits

P.

8. K.D. BAJPAI says:

{73535353535353535353535353535353535353535353535353535353535353535353
}, 68-digit.

A prime number where all its digits are prime and every pair of consecutive digits is a prime. It is the only prime less than a googol with concatenation of two prime-digit primes 73 and 53.