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.

 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

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.

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