What is the 5087th prime number?
The 5087th prime number is 49523. The next prime is 49529 (a gap of 6) and the one before is 49499.
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 5087th one is 49523.
- 2
49523 is prime because no prime up to ā49523 ā 222.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5087th prime is close to 5087 Ć ln(5087) ā 43415, and here it is 49523.
- 4
49523 has no twin: neither 49521 nor 49525 is prime.
Primes around the 5087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5084 | 49477 | 14 |
| 5085 | 49481 | 4 |
| 5086 | 49499 | 18 |
| 5087 | 49523 | 24 |
| 5088 | 49529 | 6 |
| 5089 | 49531 | 2 |
| 5090 | 49537 | 6 |
Questions
What is the 5087th prime number?
49523.
Which prime number is 49523?
49523 is the 5087th prime number.
What is the sum of the first 5087 primes?
118,724,252.