Question

Medal for first answer :D
find next term
13,23,31,43,59,...

Answer 1

prime numbers

Answer 2

then whats ur next ?

Answer 3

73

Answer 4

i might be wrong

Answer 5

71

Answer 6

correct me @hartnn

Answer 7

:o ty @hartnn

Answer 8

@AndrewTheCookie is correct:P

Answer 9

is me or hartnn correct?

Answer 10

lol

Answer 11

its 73 not 71 :D

Answer 12

:o

Answer 13

xD

Answer 14

let andrew reveal the logic :)

Answer 15

yeah whats ur logic :P

Answer 16

i added 14 to 59

Answer 17

because the first time they added 13 + 10 = 23

Answer 18

-.-

Answer 19

do u agree @hartnn

Answer 20

wait, isn't 29 also a prime number?

Answer 21

i didn't even get you, sorry :P

Answer 22

ur answer is correct but not seeing any logic xD

Answer 23

o.o

Answer 24

29 is prime, but not there.

Answer 25

who said it should be there :P

Answer 26

me

Answer 27

well, if it is a sequence of prime numbers, as some people have said.

Answer 28

u mean 29 or 73?

Answer 29

29.

Answer 30

i said 73 and solomon said 29

Answer 31

hartnn said 71

Answer 32

I think it's 71 or 73..

Answer 33

I am saying that \(\large\color{black}{ 29 }\) should be in the sequence, if it is a sequence of prime numbers. But it's misssing.

Answer 34

i assume this question is open until someone reveals the actual logic

Answer 35

and 37

Answer 36

well the next prime number after 59 is 61

Answer 37

ok its not prime numbers sequence >.<

Answer 38

https://oeis.org/A182047

Answer 39

i googled it it said 61.. but there it says 73

Answer 40

partyyy

Answer 41

what are the answer choices

Answer 42

thats the first place to look at when you run out of ideas :P

Answer 43

*for sequences

Answer 44

Is this multiple choice?

Answer 45

PARTYING HARD

Answer 46

lol ganshie

Answer 47

lol ,was that the logic ?
smallest prime > n(n+1)

Answer 48

:P

Answer 49

my logic was the next prime after 59 is 61

Answer 50

yes indeed :D

Answer 51

they are all prime numbers!

Answer 52

that wa my logic

Answer 53

i should confess that i would have not got that even if i tried harder :P

Answer 54

haha :P i thught it easy since primes are there

Answer 55

yes where is this used @Marki ? im sure it must be having interesting properties
otherwise oeis will not be having this

Answer 56

13,\(\normalsize\color{red}{19 }\),23,\(\normalsize\color{red}{29 }\),31,\(\normalsize\color{red}{37 }\),43,\(\normalsize\color{red}{47 }\),59.

it is skipping every other prime number

Answer 57

the red parts are not in the sequence

Answer 58

I got it!
It is 71

Answer 59

how

Answer 60

well its only away to show that there is a prime
btw
n(n+1)>p>(n+1)(n+2)

Answer 61

but been disproved ltr

Answer 62

Oh i remember this, very interesting

Answer 63

because we have to count the third prime number from the preceding prime number in the sequence

Answer 64

:D

Answer 65

so the answer is 71?

Answer 66

yes! I think so!

Answer 67

no lol its 73 :P

Answer 68

71 is not prime

Answer 69

I'm confused o-o

Answer 70

or is it?

Answer 71

no

Answer 72

please, I think that 71 is a prime number

Answer 73

what the hack am I saying, 71 is prime

Answer 74

I was thinking +21 like divisible by 3, but it's not, because 7+1=8 not divisible by 3.

Answer 75

Will no more disturb...

Answer 76

find the next term

\(\Large 3,9,23,51,99..\)

Answer 77

first differences :
6, 14, 28, 48

second differences :
8, 14, 20

third differences :
6, 6

Answer 78

great

Answer 79

building up gives

3,9,23,51,99, `99+48+20+6`

first differences :
6, 14, 28, 48, `48+20+6`

second differences :
8, 14, 20, `20+6`

third differences :
6, 6, `6`

Answer 80

what about another next term ?

Answer 81

add one more step

Answer 82

\(n^3-2n^2+5n-1\)

Answer 83

nice

Answer 84

3,9,23,51,99, 99+48+20+6, `99+48+20+6+48+20+6+20+6+6`

first differences :
6, 14, 28, 48, 48+20+6, `48+20+6+20+6+6`

second differences :
8, 14, 20, 20+6, `20+6+6`

third differences :
6, 6, 6, `6`

Answer 85

notice a \(3\)rd degree polynomial gives constant differences at 3rd stage

just like the the third derivative of a 3rd degree polynomial is a constant