What is the 1061st prime number?
The 1061st prime number is 8513. The next prime is 8521 (a gap of 8) and the one before is 8501.
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 1061st one is 8513.
- 2
8513 is prime because no prime up to ā8513 ā 92.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1061st prime is close to 1061 Ć ln(1061) ā 7392, and here it is 8513.
- 4
8513 has no twin: neither 8511 nor 8515 is prime.
Primes around the 1061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1058 | 8461 | 14 |
| 1059 | 8467 | 6 |
| 1060 | 8501 | 34 |
| 1061 | 8513 | 12 |
| 1062 | 8521 | 8 |
| 1063 | 8527 | 6 |
| 1064 | 8537 | 10 |
Questions
What is the 1061st prime number?
8513.
Which prime number is 8513?
8513 is the 1061st prime number.
What is the sum of the first 1061 primes?
4,183,936.