What is the 3461st prime number?
The 3461st prime number is 32261. The next prime is 32297 (a gap of 36) and the one before is 32257.
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 3461st one is 32261.
- 2
32261 is prime because no prime up to ā32261 ā 179.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3461st prime is close to 3461 Ć ln(3461) ā 28205, and here it is 32261.
- 4
32261 has no twin: neither 32259 nor 32263 is prime.
Primes around the 3461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3458 | 32237 | 4 |
| 3459 | 32251 | 14 |
| 3460 | 32257 | 6 |
| 3461 | 32261 | 4 |
| 3462 | 32297 | 36 |
| 3463 | 32299 | 2 |
| 3464 | 32303 | 4 |
Questions
What is the 3461st prime number?
32261.
Which prime number is 32261?
32261 is the 3461st prime number.
What is the sum of the first 3461 primes?
52,399,370.