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Byju's Answer
Standard VI
Mathematics
Finite Set
what is the p...
Question
what is the pattern of the prime numbers
Open in App
Solution
First
recall
the
definition
of
prime
numbers
.
"
A
prime
number
is
a
number
which
has
only
two
factors
1
and
the
number
itself
"
List
the
first
10
prime
numbers
.
2
,
3
,
5
,
7
,
11
,
13
,
17
,
19
,
23
,
29
Multiply
the
first
two
prime
numbers
and
add
1
to
the
resultant
2
×
3
+
1
=
6
+
1
=
7
The
number
7
is
a
prime
number
.
Now
multiply
the
first
three
prime
numbers
and
add
1
to
the
resultant
2
×
3
×
5
+
1
=
30
+
1
=
31
The
number
31
is
a
prime
number
.
Again
,
Multiply
the
first
four
prime
numbers
and
add
1
to
the
resultant
2
×
3
×
5
×
7
+
1
=
210
+
1
=
211
The
number
211
is
a
prime
number
.
Thus
it
can
be
noted
that
if
continuous
series
of
prime
numbers
is
multiplied
and
1
is
added
to
the
resultant
,
then
we
again
get
a
prime
number
.
This
pattern
in
prime
numbers
can
be
restated
as
follows
:
"
If
a
continuous
series
of
prime
numbers
is
multiplied
and
1
is
added
to
the
product
,
then
the
resultant
number
is
also
a
prime
number
"
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