What is the 6171st prime number?
The 6171st prime number is 61339. The next prime is 61343 (a gap of 4) and the one before is 61333.
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 6171st one is 61339.
- 2
61339 is prime because no prime up to ā61339 ā 247.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6171st prime is close to 6171 Ć ln(6171) ā 53858, and here it is 61339.
- 4
61339 has no twin: neither 61337 nor 61341 is prime.
Primes around the 6171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6168 | 61297 | 6 |
| 6169 | 61331 | 34 |
| 6170 | 61333 | 2 |
| 6171 | 61339 | 6 |
| 6172 | 61343 | 4 |
| 6173 | 61357 | 14 |
| 6174 | 61363 | 6 |
Questions
What is the 6171st prime number?
61339.
Which prime number is 61339?
61339 is the 6171st prime number.
What is the sum of the first 6171 primes?
178,762,820.