What is the 1036th prime number?
The 1036th prime number is 8263. The next prime is 8269 (a gap of 6) and the one before is 8243.
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 1036th one is 8263.
- 2
8263 is prime because no prime up to ā8263 ā 90.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1036th prime is close to 1036 Ć ln(1036) ā 7193, and here it is 8263.
- 4
8263 has no twin: neither 8261 nor 8265 is prime.
Primes around the 1036th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1033 | 8233 | 2 |
| 1034 | 8237 | 4 |
| 1035 | 8243 | 6 |
| 1036 | 8263 | 20 |
| 1037 | 8269 | 6 |
| 1038 | 8273 | 4 |
| 1039 | 8287 | 14 |
Questions
What is the 1036th prime number?
8263.
Which prime number is 8263?
8263 is the 1036th prime number.
What is the sum of the first 1036 primes?
3,974,497.