What is the 5009th prime number?
The 5009th prime number is 48731. The next prime is 48733 (a gap of 2) and the one before is 48679.
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 5009th one is 48731.
- 2
48731 is prime because no prime up to ā48731 ā 220.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5009th prime is close to 5009 Ć ln(5009) ā 42672, and here it is 48731.
- 4
48731 is a twin prime: 48731 and 48733 are both prime.
Primes around the 5009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5006 | 48673 | 12 |
| 5007 | 48677 | 4 |
| 5008 | 48679 | 2 |
| 5009 | 48731 | 52 |
| 5010 | 48733 | 2 |
| 5011 | 48751 | 18 |
| 5012 | 48757 | 6 |
Questions
What is the 5009th prime number?
48731.
Which prime number is 48731?
48731 is the 5009th prime number.
What is the sum of the first 5009 primes?
114,893,218.