What is the 7050th prime number?
The 7050th prime number is 71209. The next prime is 71233 (a gap of 24) and the one before is 71191.
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 7050th one is 71209.
- 2
71209 is prime because no prime up to ā71209 ā 266.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7050th prime is close to 7050 Ć ln(7050) ā 62469, and here it is 71209.
- 4
71209 has no twin: neither 71207 nor 71211 is prime.
Primes around the 7050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7047 | 71167 | 6 |
| 7048 | 71171 | 4 |
| 7049 | 71191 | 20 |
| 7050 | 71209 | 18 |
| 7051 | 71233 | 24 |
| 7052 | 71237 | 4 |
| 7053 | 71249 | 12 |
Questions
What is the 7050th prime number?
71209.
Which prime number is 71209?
71209 is the 7050th prime number.
What is the sum of the first 7050 primes?
237,008,391.