Need help on a couple of questions please?

[smokeybacon]

I have a couple of questions left on a fun quiz I am doing, can anyone shed any light? I would be very grateful as this really isn't getting ANY housework done and the in-laws are coming tomorrow!

1. If a month starts on a Sunday there will be two notable things about it. What are they?

(I've got the first thing, which is that there will always be a Friday 13th, but can't for the life of me work out the second thing.)

2. 61 is the sixth _________ number?

Thanks in advance!

Sarah

[ipek]

2 could be Prime number (cannot be divided by any number but itself and one)

[mike1222]

2.  61 is the 6th Euler number (don't even ask!!)

[crofter]

ipek, Your definition is correct! Therefore the prime numbers are 2, 3, 5, 7, 11, 13, ... ; so the sixth prime is 13 (again). In fact 61 is prime; but it is the 18th prime number.  Good try!

[kempie]

Isn't the 6th Euler Number E6 = -61 (minus 61)

61 is the 6th Centred Square Number but probably not the answer required.

[Buzzie]

The only other notable thing about a Month that starts on a Sunday is that there will be 5 Sundays in it. (Apart from Feb obviously)

[gen2]

Buzzie, There will also be 5 Sundays in a month that starts on a Saturday as well (except Feb.) so that is not all that remarkable.

[Gumboot50]

According to what I've just read, 61 is the third Euler number. The sixth is 2,702,765. I agree with Kempie - 61 is the 6th centred square number