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Mini-challenge: First Prime of form 403333...
10-27-2016, 02:17 PM (This post was last modified: 10-27-2016 02:24 PM by Joe Horn.)
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Mini-challenge: First Prime of form 403333...
Here's a mini-challenge for programmers who enjoy playing with numbers.

Imagine this sequence of integers: {403, 4033, 40333, 403333, ...}. Each term of the sequence is 10 times the previous term +3.

It is not immediately obvious, but not all the terms of this sequence are composite. There are in fact an infinite number of primes in this sequence. However, the smallest one is surprisingly large.

Mini-challenge: Find the smallest prime term in this sequence.

Warning #1: Checking OEIS won't help; it's not there.

Warning #2: Patience may be required, depending on your choice of programming language and hardware.

<0|ΙΈ|0>
-Joe-
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Mini-challenge: First Prime of form 403333... - Joe Horn - 10-27-2016 02:17 PM



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