What is the 5587th prime number?
The 5587th prime number is 54959. The next prime is 54973 (a gap of 14) and the one before is 54949.
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 5587th one is 54959.
- 2
54959 is prime because no prime up to ā54959 ā 234.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5587th prime is close to 5587 Ć ln(5587) ā 48206, and here it is 54959.
- 4
54959 has no twin: neither 54957 nor 54961 is prime.
Primes around the 5587th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5584 | 54919 | 2 |
| 5585 | 54941 | 22 |
| 5586 | 54949 | 8 |
| 5587 | 54959 | 10 |
| 5588 | 54973 | 14 |
| 5589 | 54979 | 6 |
| 5590 | 54983 | 4 |
Questions
What is the 5587th prime number?
54959.
Which prime number is 54959?
54959 is the 5587th prime number.
What is the sum of the first 5587 primes?
144,839,160.