boys v girls - Part 2

[MoreCoffee]

47 is prime and is the smallest number with 9 representations as a sum of 3 distinct primes:

47 = 3+7+37 = 3+13+31 = 5+11+31 = 5+13+29 = 5+19+23 = 7+11+29 = 7+17+23 = 11+13+23 = 11+17+19

46

 

[MarkFL]

46

45 is the 9th triangular number and is 3^2(2^2 + 1^2) :abanana::BananaMon::banana_004::banana-dance:

 

[MoreCoffee]

45 is the 9th triangular number and is 3^2(2^2 + 1^2) :abanana::BananaMon::banana_004::banana-dance:

44

 

[MarkFL]

44

43 is prime and is 6^2 + 6^1 + 6^0 :mischievous:

 

[MoreCoffee]

43 is prime and is 6^2 + 6^1 + 6^0 :mischievous:

42 :bananmac:

 

[MarkFL]

42 :bananmac:

41 is a Sophie Germain prime and the value of the polynomial n^2 + n + 41 is prime for n = (0, 1, ..., 39).

 

[MoreCoffee]

41 is a Sophie Germain prime and the value of the polynomial n^2 + n + 41 is prime for n = (0, 1, ..., 39).

40 :borladuck:

 

[MarkFL]

40 :borladuck:

39 is the smallest number with 6 representations as a sum of 3 distinct primes:

39 = 3+5+31 = 3+7+29 = 3+13+23 = 3+17+19 = 5+11+23 = 7+13+19

 

[MoreCoffee]

39 is the smallest number with 6 representations as a sum of 3 distinct primes:

39 = 3+5+31 = 3+7+29 = 3+13+23 = 3+17+19 = 5+11+23 = 7+13+19

38 ... :bump2:

 

[MarkFL]

38 ... :bump2:

37 is an irregular prime, since it divides the numerator of the 32nd Bernoulli number. :clock:

 

[MoreCoffee]

37 is an irregular prime, since it divides the numerator of the 32nd Bernoulli number. :clock:

36

 

[MarkFL]

36

35 is the 5th tetrahedral number.

 

[MoreCoffee]

35 is the 5th tetrahedral number.

34 it shall soon be time for me to do; I must help a friend with remote control failures :stoic-hero:

 

[MarkFL]

34 it shall soon be time for me to do; I must help a friend with remote control failures :stoic-hero:

33 is the smallest number with 9 representations as a sum of 3 primes:

33 = 2+2+29 = 3+7+23 = 3+11+19 = 3+13+17 = 5+5+23 = 5+11+17 = 7+7+19 = 7+13+13 = 11+11+11

On that note, I gotta bolt...time for a bit of shut-eye. :sleeping:

 

[MoreCoffee]

33 is the smallest number with 9 representations as a sum of 3 primes:

33 = 2+2+29 = 3+7+23 = 3+11+19 = 3+13+17 = 5+5+23 = 5+11+17 = 7+7+19 = 7+13+13 = 11+11+11

On that note, I gotta bolt...time for a bit of shut-eye. :sleeping:

32 :wave::wave::wave:

 

[tango]

32 :wave::wave::wave:

31

 

[MoreCoffee]

31

30

 

[MarkFL]

30

29 is a Sophie Germain prime. op2:

 

[MoreCoffee]

29 is a Sophie Germain prime. op2:

28 ... the end is nigh!

 

[MarkFL]

28 ... the end is nigh!

Yes, time to git-r-done!

27 is the smallest number with 2 representations as a sum of 3 positive squares:

27 = 1^2+1^2+5^2 = 3^2+3^2+3^2