What is the 3172nd prime number?
The 3172nd prime number is 29179. The next prime is 29191 (a gap of 12) and the one before is 29173.
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 3172nd one is 29179.
- 2
29179 is prime because no prime up to ā29179 ā 170.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3172nd prime is close to 3172 Ć ln(3172) ā 25573, and here it is 29179.
- 4
29179 has no twin: neither 29177 nor 29181 is prime.
Primes around the 3172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3169 | 29153 | 6 |
| 3170 | 29167 | 14 |
| 3171 | 29173 | 6 |
| 3172 | 29179 | 6 |
| 3173 | 29191 | 12 |
| 3174 | 29201 | 10 |
| 3175 | 29207 | 6 |
Questions
What is the 3172nd prime number?
29179.
Which prime number is 29179?
29179 is the 3172nd prime number.
What is the sum of the first 3172 primes?
43,517,259.