What is the 3164th prime number?
The 3164th prime number is 29123. The next prime is 29129 (a gap of 6) and the one before is 29101.
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 3164th one is 29123.
- 2
29123 is prime because no prime up to ā29123 ā 170.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3164th prime is close to 3164 Ć ln(3164) ā 25501, and here it is 29123.
- 4
29123 has no twin: neither 29121 nor 29125 is prime.
Primes around the 3164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3161 | 29063 | 4 |
| 3162 | 29077 | 14 |
| 3163 | 29101 | 24 |
| 3164 | 29123 | 22 |
| 3165 | 29129 | 6 |
| 3166 | 29131 | 2 |
| 3167 | 29137 | 6 |
Questions
What is the 3164th prime number?
29123.
Which prime number is 29123?
29123 is the 3164th prime number.
What is the sum of the first 3164 primes?
43,284,043.