What is the 5461st prime number?
The 5461st prime number is 53597. The next prime is 53609 (a gap of 12) and the one before is 53593.
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 5461st one is 53597.
- 2
53597 is prime because no prime up to ā53597 ā 231.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5461st prime is close to 5461 Ć ln(5461) ā 46994, and here it is 53597.
- 4
53597 has no twin: neither 53595 nor 53599 is prime.
Primes around the 5461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5458 | 53569 | 18 |
| 5459 | 53591 | 22 |
| 5460 | 53593 | 2 |
| 5461 | 53597 | 4 |
| 5462 | 53609 | 12 |
| 5463 | 53611 | 2 |
| 5464 | 53617 | 6 |
Questions
What is the 5461st prime number?
53597.
Which prime number is 53597?
53597 is the 5461st prime number.
What is the sum of the first 5461 primes?
138,001,082.