What is the 3171st prime number?
The 3171st prime number is 29173. The next prime is 29179 (a gap of 6) and the one before is 29167.
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 3171st one is 29173.
- 2
29173 is prime because no prime up to ā29173 ā 170.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3171st prime is close to 3171 Ć ln(3171) ā 25564, and here it is 29173.
- 4
29173 has no twin: neither 29171 nor 29175 is prime.
Primes around the 3171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3168 | 29147 | 10 |
| 3169 | 29153 | 6 |
| 3170 | 29167 | 14 |
| 3171 | 29173 | 6 |
| 3172 | 29179 | 6 |
| 3173 | 29191 | 12 |
| 3174 | 29201 | 10 |
Questions
What is the 3171st prime number?
29173.
Which prime number is 29173?
29173 is the 3171st prime number.
What is the sum of the first 3171 primes?
43,488,080.