What is the 5488th prime number?
The 5488th prime number is 53881. The next prime is 53887 (a gap of 6) and the one before is 53861.
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 5488th one is 53881.
- 2
53881 is prime because no prime up to ā53881 ā 232.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5488th prime is close to 5488 Ć ln(5488) ā 47253, and here it is 53881.
- 4
53881 has no twin: neither 53879 nor 53883 is prime.
Primes around the 5488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5485 | 53849 | 18 |
| 5486 | 53857 | 8 |
| 5487 | 53861 | 4 |
| 5488 | 53881 | 20 |
| 5489 | 53887 | 6 |
| 5490 | 53891 | 4 |
| 5491 | 53897 | 6 |
Questions
What is the 5488th prime number?
53881.
Which prime number is 53881?
53881 is the 5488th prime number.
What is the sum of the first 5488 primes?
139,451,787.