diff --git a/contrib/download_prerequisites b/contrib/download_prerequisites
index 7d0c4b5ea8d..51e715f69e1 100755
--- a/contrib/download_prerequisites
+++ b/contrib/download_prerequisites
@@ -28,7 +28,7 @@ version='(unversioned)'
 # `contrib/prerequisites.md5` with the new checksums.
 
 gmp='gmp-6.1.0.tar.bz2'
-mpfr='mpfr-3.1.4.tar.bz2'
+mpfr='mpfr-3.1.6.tar.bz2'
 mpc='mpc-1.0.3.tar.gz'
 isl='isl-0.18.tar.bz2'
 
diff --git a/contrib/prerequisites.md5 b/contrib/prerequisites.md5
index cc71e0f4de6..272f7a429b6 100644
--- a/contrib/prerequisites.md5
+++ b/contrib/prerequisites.md5
@@ -1,4 +1,4 @@
 86ee6e54ebfc4a90b643a65e402c4048  gmp-6.1.0.tar.bz2
-b8a2f6b0e68bef46e53da2ac439e1cf4  mpfr-3.1.4.tar.bz2
+320c28198def956aeacdb240b46b8969  mpfr-3.1.6.tar.bz2
 d6a1d5f8ddea3abd2cc3e98f58352d26  mpc-1.0.3.tar.gz
 11436d6b205e516635b666090b94ab32  isl-0.18.tar.bz2
diff --git a/contrib/prerequisites.sha512 b/contrib/prerequisites.sha512
index cf6b93b8d6b..71601457cfc 100644
--- a/contrib/prerequisites.sha512
+++ b/contrib/prerequisites.sha512
@@ -1,4 +1,4 @@
 3c82aeab9c1596d4da8afac2eec38e429e84f3211e1a572cf8fd2b546493c44c039b922a1133eaaa48bd7f3e11dbe795a384e21ed95cbe3ecc58d7ac02246117  gmp-6.1.0.tar.bz2
-51066066ff2c12ed2198605ecf68846b0c96b548adafa5b80e0c786d0df488411a5e8973358fce7192dc977ad4e68414cf14500e3c39746de62465eb145bb819  mpfr-3.1.4.tar.bz2
+0c310dd7956be527884f8059c195a5aca1042b089d0927ac6341e6310b1250a7059bc61aaaab4dfb76c6ab8b67e440878ca203f72674529bbcb46770ed9b6885  mpfr-3.1.6.tar.bz2
 0028b76df130720c1fad7de937a0d041224806ce5ef76589f19c7b49d956071a683e2f20d154c192a231e69756b19e48208f2889b0c13950ceb7b3cfaf059a43  mpc-1.0.3.tar.gz
 85d0b40f4dbf14cb99d17aa07048cdcab2dc3eb527d2fbb1e84c41b2de5f351025370e57448b63b2b8a8cf8a0843a089c3263f9baee1542d5c2e1cb37ed39d94  isl-0.18.tar.bz2