<s>
It	O
is	O
a	O
special-purpose	O
algorithm	O
,	O
meaning	O
that	O
it	O
is	O
only	O
suitable	O
for	O
integers	O
with	O
specific	O
types	O
of	O
factors	O
;	O
it	O
is	O
the	O
simplest	O
example	O
of	O
an	O
algebraic-group	B-Algorithm
factorisation	I-Algorithm
algorithm	I-Algorithm
.	O
</s>
<s>
In	O
practice	O
,	O
the	O
elliptic	B-Algorithm
curve	I-Algorithm
method	I-Algorithm
is	O
faster	O
than	O
the	O
Pollard	O
p	O
−	O
1	O
method	O
once	O
the	O
factors	O
are	O
at	O
all	O
large	O
;	O
running	O
the	O
p	O
−	O
1	O
method	O
up	O
to	O
B	O
=	O
232	O
will	O
find	O
a	O
quarter	O
of	O
all	O
64-bit	O
factors	O
and	O
1/27	O
of	O
all	O
96-bit	O
factors	O
.	O
</s>
<s>
The	O
GMP-ECM	O
package	O
includes	O
an	O
efficient	O
implementation	O
of	O
the	O
p''1	O
method	O
.	O
</s>
<s>
Prime95	B-Device
and	O
MPrime	B-Application
,	O
the	O
official	O
clients	O
of	O
the	O
Great	O
Internet	O
Mersenne	O
Prime	O
Search	O
,	O
use	O
a	O
modified	O
version	O
of	O
the	O
p	O
-	O
1	O
algorithm	O
to	O
eliminate	O
potential	O
candidates	O
.	O
</s>
