What is the 1035th prime number?
The 1035th prime number is 8243. The next prime is 8263 (a gap of 20) and the one before is 8237.
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 1035th one is 8243.
- 2
8243 is prime because no prime up to ā8243 ā 90.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1035th prime is close to 1035 Ć ln(1035) ā 7185, and here it is 8243.
- 4
8243 has no twin: neither 8241 nor 8245 is prime.
Primes around the 1035th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1032 | 8231 | 10 |
| 1033 | 8233 | 2 |
| 1034 | 8237 | 4 |
| 1035 | 8243 | 6 |
| 1036 | 8263 | 20 |
| 1037 | 8269 | 6 |
| 1038 | 8273 | 4 |
Questions
What is the 1035th prime number?
8243.
Which prime number is 8243?
8243 is the 1035th prime number.
What is the sum of the first 1035 primes?
3,966,234.