What is the 7104th prime number?
The 7104th prime number is 71777. The next prime is 71789 (a gap of 12) and the one before is 71761.
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 7104th one is 71777.
- 2
71777 is prime because no prime up to ā71777 ā 267.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7104th prime is close to 7104 Ć ln(7104) ā 63001, and here it is 71777.
- 4
71777 has no twin: neither 71775 nor 71779 is prime.
Primes around the 7104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7101 | 71719 | 6 |
| 7102 | 71741 | 22 |
| 7103 | 71761 | 20 |
| 7104 | 71777 | 16 |
| 7105 | 71789 | 12 |
| 7106 | 71807 | 18 |
| 7107 | 71809 | 2 |
Questions
What is the 7104th prime number?
71777.
Which prime number is 71777?
71777 is the 7104th prime number.
What is the sum of the first 7104 primes?
240,868,089.