What is the 3163rd prime number?
The 3163rd prime number is 29101. The next prime is 29123 (a gap of 22) and the one before is 29077.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3163rd one is 29101.
- 2
29101 is prime because no prime up to ā29101 ā 170.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3163rd prime is close to 3163 Ć ln(3163) ā 25491, and here it is 29101.
- 4
29101 has no twin: neither 29099 nor 29103 is prime.
Primes around the 3163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3160 | 29059 | 26 |
| 3161 | 29063 | 4 |
| 3162 | 29077 | 14 |
| 3163 | 29101 | 24 |
| 3164 | 29123 | 22 |
| 3165 | 29129 | 6 |
| 3166 | 29131 | 2 |
Questions
What is the 3163rd prime number?
29101.
Which prime number is 29101?
29101 is the 3163rd prime number.
What is the sum of the first 3163 primes?
43,254,920.