What is the 1052nd prime number?
The 1052nd prime number is 8419. The next prime is 8423 (a gap of 4) and the one before is 8389.
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 1052nd one is 8419.
- 2
8419 is prime because no prime up to ā8419 ā 91.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1052nd prime is close to 1052 Ć ln(1052) ā 7320, and here it is 8419.
- 4
8419 has no twin: neither 8417 nor 8421 is prime.
Primes around the 1052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1049 | 8377 | 8 |
| 1050 | 8387 | 10 |
| 1051 | 8389 | 2 |
| 1052 | 8419 | 30 |
| 1053 | 8423 | 4 |
| 1054 | 8429 | 6 |
| 1055 | 8431 | 2 |
Questions
What is the 1052nd prime number?
8419.
Which prime number is 8419?
8419 is the 1052nd prime number.
What is the sum of the first 1052 primes?
4,107,821.