What is the 8281st prime number?
The 8281st prime number is 85037. The next prime is 85049 (a gap of 12) and the one before is 85027.
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 8281st one is 85037.
- 2
85037 is prime because no prime up to ā85037 ā 291.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8281st prime is close to 8281 Ć ln(8281) ā 74709, and here it is 85037.
- 4
85037 has no twin: neither 85035 nor 85039 is prime.
Primes around the 8281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8278 | 85009 | 18 |
| 8279 | 85021 | 12 |
| 8280 | 85027 | 6 |
| 8281 | 85037 | 10 |
| 8282 | 85049 | 12 |
| 8283 | 85061 | 12 |
| 8284 | 85081 | 20 |
Questions
What is the 8281st prime number?
85037.
Which prime number is 85037?
85037 is the 8281st prime number.
What is the sum of the first 8281 primes?
333,112,374.