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[ January 13, 2013 ]
Here we will split up any strictly pandigital number (abcdefghij) and form the general format ab^cdef+/-ghij into three parts [ 2 | 4 | 4 ] and test the candidates for probable primeness. Of course other partitionings/operations are allowed as well like abc^def+/-ghij, ab!+cdefghij, etc.
First case takes place around the keynumber 10.
A pandigital is a 10-digit number where all the
10^2435 + 9867 Underlined displacements means that the prp's are borderprp's.
Range from 10^23456 /+ 789 to 10^98765 /+ 432 Both negative and positive displacements result alas in NO PRP solutions !
The smallest one with a positive 7-digit displacement is already prime ! 10^2 + 3456789 Starting with base 10 and exponent 2 gives a total of 540 primes. Quite abundant ! The largest by the way is 10^2 + 9876453.
Let me give you another format example of a pandigital PRP expression. This is the place were you can submit your findings. (please, avoid the digit 0 as a leading zero)
130 * 2456^7 + 89
In this section I searched some pandigital expressions being equal to a palindrome !
For reference goals and easy searching all the nine- & pandigitals
implicitly displayed in these topics are listed here.
Topic 2.4.4 → 1024359867, 1025694387, 1058632497, 1073256849, 1084592367,
Other Topics → 1023456789, 1098765432, 1023456789, 1029876453, 1302456789, | ||||
A000182 Prime Curios! Prime Puzzle Wikipedia 182 Le nombre 182 |
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