What is the 1037th prime number?
The 1037th prime number is 8269. The next prime is 8273 (a gap of 4) and the one before is 8263.
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 1037th one is 8269.
- 2
8269 is prime because no prime up to ā8269 ā 90.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1037th prime is close to 1037 Ć ln(1037) ā 7201, and here it is 8269.
- 4
8269 has no twin: neither 8267 nor 8271 is prime.
Primes around the 1037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1034 | 8237 | 4 |
| 1035 | 8243 | 6 |
| 1036 | 8263 | 20 |
| 1037 | 8269 | 6 |
| 1038 | 8273 | 4 |
| 1039 | 8287 | 14 |
| 1040 | 8291 | 4 |
Questions
What is the 1037th prime number?
8269.
Which prime number is 8269?
8269 is the 1037th prime number.
What is the sum of the first 1037 primes?
3,982,766.