What is the 8037th prime number?
The 8037th prime number is 82193. The next prime is 82207 (a gap of 14) and the one before is 82189.
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 8037th one is 82193.
- 2
82193 is prime because no prime up to ā82193 ā 286.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8037th prime is close to 8037 Ć ln(8037) ā 72267, and here it is 82193.
- 4
82193 has no twin: neither 82191 nor 82195 is prime.
Primes around the 8037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8034 | 82171 | 8 |
| 8035 | 82183 | 12 |
| 8036 | 82189 | 6 |
| 8037 | 82193 | 4 |
| 8038 | 82207 | 14 |
| 8039 | 82217 | 10 |
| 8040 | 82219 | 2 |
Questions
What is the 8037th prime number?
82193.
Which prime number is 82193?
82193 is the 8037th prime number.
What is the sum of the first 8037 primes?
312,711,584.