What is the 5854th prime number?
The 5854th prime number is 57787. The next prime is 57791 (a gap of 4) and the one before is 57781.
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 5854th one is 57787.
- 2
57787 is prime because no prime up to ā57787 ā 240.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5854th prime is close to 5854 Ć ln(5854) ā 50783, and here it is 57787.
- 4
57787 has no twin: neither 57785 nor 57789 is prime.
Primes around the 5854th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5851 | 57751 | 14 |
| 5852 | 57773 | 22 |
| 5853 | 57781 | 8 |
| 5854 | 57787 | 6 |
| 5855 | 57791 | 4 |
| 5856 | 57793 | 2 |
| 5857 | 57803 | 10 |
Questions
What is the 5854th prime number?
57787.
Which prime number is 57787?
57787 is the 5854th prime number.
What is the sum of the first 5854 primes?
159,896,641.