What is the 7053rd prime number?
The 7053rd prime number is 71249. The next prime is 71257 (a gap of 8) and the one before is 71237.
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 7053rd one is 71249.
- 2
71249 is prime because no prime up to ā71249 ā 266.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7053rd prime is close to 7053 Ć ln(7053) ā 62498, and here it is 71249.
- 4
71249 has no twin: neither 71247 nor 71251 is prime.
Primes around the 7053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7050 | 71209 | 18 |
| 7051 | 71233 | 24 |
| 7052 | 71237 | 4 |
| 7053 | 71249 | 12 |
| 7054 | 71257 | 8 |
| 7055 | 71261 | 4 |
| 7056 | 71263 | 2 |
Questions
What is the 7053rd prime number?
71249.
Which prime number is 71249?
71249 is the 7053rd prime number.
What is the sum of the first 7053 primes?
237,222,110.