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Consider A145834 as the first step of the sieving (subtracting the sum of its prime factors with repetition from the composite numbers). This sequence is the result of the subsequent application of above described sieving - thus all terms of this sequence arise as prime numbers.
Florentin Smarandache (in a Sunday, Nov 02 2008 email exchange) asks: how many times does each prime (> 3) appear in this sequence? This question can also be asked about A029909. - Alexander R. Povolotsky, Nov 07 2008