What is the 5787th prime number?
The 5787th prime number is 57073. The next prime is 57077 (a gap of 4) and the one before is 57059.
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 5787th one is 57073.
- 2
57073 is prime because no prime up to ā57073 ā 238.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5787th prime is close to 5787 Ć ln(5787) ā 50135, and here it is 57073.
- 4
57073 has no twin: neither 57071 nor 57075 is prime.
Primes around the 5787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5784 | 57041 | 4 |
| 5785 | 57047 | 6 |
| 5786 | 57059 | 12 |
| 5787 | 57073 | 14 |
| 5788 | 57077 | 4 |
| 5789 | 57089 | 12 |
| 5790 | 57097 | 8 |
Questions
What is the 5787th prime number?
57073.
Which prime number is 57073?
57073 is the 5787th prime number.
What is the sum of the first 5787 primes?
156,049,106.