What is the 7051st prime number?
The 7051st prime number is 71233. The next prime is 71237 (a gap of 4) and the one before is 71209.
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 7051st one is 71233.
- 2
71233 is prime because no prime up to ā71233 ā 266.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7051st prime is close to 7051 Ć ln(7051) ā 62478, and here it is 71233.
- 4
71233 has no twin: neither 71231 nor 71235 is prime.
Primes around the 7051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7048 | 71171 | 4 |
| 7049 | 71191 | 20 |
| 7050 | 71209 | 18 |
| 7051 | 71233 | 24 |
| 7052 | 71237 | 4 |
| 7053 | 71249 | 12 |
| 7054 | 71257 | 8 |
Questions
What is the 7051st prime number?
71233.
Which prime number is 71233?
71233 is the 7051st prime number.
What is the sum of the first 7051 primes?
237,079,624.