What is the 5006th prime number?
The 5006th prime number is 48673. The next prime is 48677 (a gap of 4) and the one before is 48661.
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 5006th one is 48673.
- 2
48673 is prime because no prime up to ā48673 ā 220.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5006th prime is close to 5006 Ć ln(5006) ā 42643, and here it is 48673.
- 4
48673 has no twin: neither 48671 nor 48675 is prime.
Primes around the 5006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5003 | 48647 | 24 |
| 5004 | 48649 | 2 |
| 5005 | 48661 | 12 |
| 5006 | 48673 | 12 |
| 5007 | 48677 | 4 |
| 5008 | 48679 | 2 |
| 5009 | 48731 | 52 |
Questions
What is the 5006th prime number?
48673.
Which prime number is 48673?
48673 is the 5006th prime number.
What is the sum of the first 5006 primes?
114,747,131.