What is the 8742nd prime number?
The 8742nd prime number is 90263. The next prime is 90271 (a gap of 8) and the one before is 90247.
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 8742nd one is 90263.
- 2
90263 is prime because no prime up to ā90263 ā 300.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8742nd prime is close to 8742 Ć ln(8742) ā 79341, and here it is 90263.
- 4
90263 has no twin: neither 90261 nor 90265 is prime.
Primes around the 8742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8739 | 90227 | 10 |
| 8740 | 90239 | 12 |
| 8741 | 90247 | 8 |
| 8742 | 90263 | 16 |
| 8743 | 90271 | 8 |
| 8744 | 90281 | 10 |
| 8745 | 90289 | 8 |
Questions
What is the 8742nd prime number?
90263.
Which prime number is 90263?
90263 is the 8742nd prime number.
What is the sum of the first 8742 primes?
373,540,845.