What is the 6174th prime number?
The 6174th prime number is 61363. The next prime is 61379 (a gap of 16) and the one before is 61357.
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 6174th one is 61363.
- 2
61363 is prime because no prime up to ā61363 ā 247.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6174th prime is close to 6174 Ć ln(6174) ā 53887, and here it is 61363.
- 4
61363 has no twin: neither 61361 nor 61365 is prime.
Primes around the 6174th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6171 | 61339 | 6 |
| 6172 | 61343 | 4 |
| 6173 | 61357 | 14 |
| 6174 | 61363 | 6 |
| 6175 | 61379 | 16 |
| 6176 | 61381 | 2 |
| 6177 | 61403 | 22 |
Questions
What is the 6174th prime number?
61363.
Which prime number is 61363?
61363 is the 6174th prime number.
What is the sum of the first 6174 primes?
178,946,883.