What is the 7034th prime number?
The 7034th prime number is 71011. The next prime is 71023 (a gap of 12) and the one before is 70999.
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 7034th one is 71011.
- 2
71011 is prime because no prime up to ā71011 ā 266.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7034th prime is close to 7034 Ć ln(7034) ā 62311, and here it is 71011.
- 4
71011 has no twin: neither 71009 nor 71013 is prime.
Primes around the 7034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7031 | 70991 | 10 |
| 7032 | 70997 | 6 |
| 7033 | 70999 | 2 |
| 7034 | 71011 | 12 |
| 7035 | 71023 | 12 |
| 7036 | 71039 | 16 |
| 7037 | 71059 | 20 |
Questions
What is the 7034th prime number?
71011.
Which prime number is 71011?
71011 is the 7034th prime number.
What is the sum of the first 7034 primes?
235,870,441.