What is the 7052nd prime number?
The 7052nd prime number is 71237. The next prime is 71249 (a gap of 12) and the one before is 71233.
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 7052nd one is 71237.
- 2
71237 is prime because no prime up to ā71237 ā 266.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7052nd prime is close to 7052 Ć ln(7052) ā 62488, and here it is 71237.
- 4
71237 has no twin: neither 71235 nor 71239 is prime.
Primes around the 7052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7049 | 71191 | 20 |
| 7050 | 71209 | 18 |
| 7051 | 71233 | 24 |
| 7052 | 71237 | 4 |
| 7053 | 71249 | 12 |
| 7054 | 71257 | 8 |
| 7055 | 71261 | 4 |
Questions
What is the 7052nd prime number?
71237.
Which prime number is 71237?
71237 is the 7052nd prime number.
What is the sum of the first 7052 primes?
237,150,861.