Prime numbers whose neighboring pairs are tetraprimes: Difference between revisions

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(Created a new draft task and added a Wren example.)
 
(Changed average to median.)
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3. Of the primes in 1 and 2 above how many have a neighboring pair one of whose members has a prime factor of 7?
3. Of the primes in 1 and 2 above how many have a neighboring pair one of whose members has a prime factor of 7?


4. For the primes in 1 and 2 above, consider the gaps between consecutive primes. What are the minimum, average (to nearer integer) and maximum gaps?
4. For the primes in 1 and 2 above, consider the gaps between consecutive primes. What are the minimum, median and maximum gaps?


5. Repeat these calculations for all primes less than '''1 million''' but for 1 and 2 just show the number of primes - don't print them out individually.
5. Repeat these calculations for all primes less than '''1 million''' but for 1 and 2 just show the number of primes - don't print them out individually.
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for (k in 0...tetras.count-1) gaps[k] = tetras[k+1] - tetras[k]
for (k in 0...tetras.count-1) gaps[k] = tetras[k+1] - tetras[k]
var min = Nums.min(gaps)
var min = Nums.min(gaps)
⚫
var avg = Nums.mean(gaps).round
var max = Nums.max(gaps)
var max = Nums.max(gaps)
⚫
var med = Nums.median(gaps.sort())
Fmt.print("Minimum gap between those $,d primes : $,d", c, min)
Fmt.print("Minimum gap between those $,d primes : $,d", c, min)
Fmt.print("Average gap between those $,d primes : $,d", c, avg)
Fmt.print("Average gap between those $,d primes : $,d", c, avg)
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Minimum gap between those 49 primes : 56
Minimum gap between those 49 primes : 56
Average gap between those 49 primes : 1,891
Median gap between those 49 primes : 1,208
Maximum gap between those 49 primes : 6,460
Maximum gap between those 49 primes : 6,460


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Minimum gap between those 46 primes : 112
Minimum gap between those 46 primes : 112
Average gap between those 46 primes : 2,004
Median gap between those 46 primes : 1,460
Maximum gap between those 46 primes : 10,284
Maximum gap between those 46 primes : 10,284


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Minimum gap between those 885 primes : 4
Minimum gap between those 885 primes : 4
Average gap between those 885 primes : 1,119
Median gap between those 885 primes : 756
Maximum gap between those 885 primes : 7,712
Maximum gap between those 885 primes : 7,712


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Minimum gap between those 866 primes : 4
Minimum gap between those 866 primes : 4
Average gap between those 866 primes : 1,146
Median gap between those 866 primes : 832
Maximum gap between those 866 primes : 10,284
Maximum gap between those 866 primes : 10,284


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Minimum gap between those 10,815 primes : 4
Minimum gap between those 10,815 primes : 4
Average gap between those 10,815 primes : 924
Median gap between those 10,815 primes : 648
Maximum gap between those 10,815 primes : 9,352
Maximum gap between those 10,815 primes : 9,352


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Minimum gap between those 10,551 primes : 4
Minimum gap between those 10,551 primes : 4
Average gap between those 10,551 primes : 947
Median gap between those 10,551 primes : 660
Maximum gap between those 10,551 primes : 10,284
Maximum gap between those 10,551 primes : 10,284
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