What is the 5005th prime number?
The 5005th prime number is 48661. The next prime is 48673 (a gap of 12) and the one before is 48649.
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 5005th one is 48661.
- 2
48661 is prime because no prime up to ā48661 ā 220.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5005th prime is close to 5005 Ć ln(5005) ā 42634, and here it is 48661.
- 4
48661 has no twin: neither 48659 nor 48663 is prime.
Primes around the 5005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5002 | 48623 | 4 |
| 5003 | 48647 | 24 |
| 5004 | 48649 | 2 |
| 5005 | 48661 | 12 |
| 5006 | 48673 | 12 |
| 5007 | 48677 | 4 |
| 5008 | 48679 | 2 |
Questions
What is the 5005th prime number?
48661.
Which prime number is 48661?
48661 is the 5005th prime number.
What is the sum of the first 5005 primes?
114,698,458.