What is the 787th prime number?
The 787th prime number is 6037. The next prime is 6043 (a gap of 6) and the one before is 6029.
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 787th one is 6037.
- 2
6037 is prime because no prime up to ā6037 ā 77.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 787th prime is close to 787 Ć ln(787) ā 5248, and here it is 6037.
- 4
6037 has no twin: neither 6035 nor 6039 is prime.
Primes around the 787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 784 | 6007 | 20 |
| 785 | 6011 | 4 |
| 786 | 6029 | 18 |
| 787 | 6037 | 8 |
| 788 | 6043 | 6 |
| 789 | 6047 | 4 |
| 790 | 6053 | 6 |
Questions
What is the 787th prime number?
6037.
Which prime number is 6037?
6037 is the 787th prime number.
What is the sum of the first 787 primes?
2,198,818.