What is the 3174th prime number?
The 3174th prime number is 29201. The next prime is 29207 (a gap of 6) and the one before is 29191.
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 3174th one is 29201.
- 2
29201 is prime because no prime up to ā29201 ā 170.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3174th prime is close to 3174 Ć ln(3174) ā 25591, and here it is 29201.
- 4
29201 has no twin: neither 29199 nor 29203 is prime.
Primes around the 3174th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3171 | 29173 | 6 |
| 3172 | 29179 | 6 |
| 3173 | 29191 | 12 |
| 3174 | 29201 | 10 |
| 3175 | 29207 | 6 |
| 3176 | 29209 | 2 |
| 3177 | 29221 | 12 |
Questions
What is the 3174th prime number?
29201.
Which prime number is 29201?
29201 is the 3174th prime number.
What is the sum of the first 3174 primes?
43,575,651.